2002 Eclipse clock. The clock is working in that it keeps time. The problem is the mode , hour, and minute button are not working therefore I can't set the time. How can I fix this problem??

Turn [SEL] button to select CLOCK ADJ.

Press the [SEL] button. The clock adjustment mode is activated. Turn [SEL] button to display the item to be selected for adjustment. Hours, minutes or exact hour will be switched each time the button is turned.

Press the [SEEK /FAST ] button. [SEEK ] button: Turns the time forward. [FAST ] button: Turns the time back. To set the clock to 0 minutes, 0 seconds (an exact hour), press the [SEEK /FAST ] button.

For example: At 3:29: Pressing the [SEEK /FAST ] button returns to 3:00. At 3:30: Pressing the [SEEK /FAST ] button advances to 4:00.

Press the [RTN] button. At this time, other adjustments can also be made in Function Mode. 6 Press the [FUNC] button to exit Function Mode.

Also, you can read the manual here:
http://www.eclipse-web.com/us/download/manual/manual/pdf/CD3414(1-1455A).pdf

There is 2 different radios. With or without rds. Here are the instructions for both.
Setting the Time for Radios with Radio Data Systems (RDS) To set the hour, press the clock button. The clock symbol displays and the hour flashes. Turn the ADJ (adjust) knob to increase or to decrease the hours. To set the minutes, press the clock button again. The minutes. Turn the ADJ knob to increase or to decrease the minutes. The time can be set with the ignition on or off.
To synchronize the time with an FM station broadcasting Radio Data System (RDS) information, press and hold the clock button to enter the clock set mode, then press and hold the clock button for three seconds until UPDATED displays. If the time is not available from the station, NO UPDATE displays.
RDS time is broadcast once a minute. After tuning to an RDS broadcast station, it can take a few minutes for the time to update.
Setting the Time for Radios without Radio Data Systems (RDS) To set the hour, press the clock button. The clock symbol displays and the hour flashes. Turn the ADJ (adjust) knob to increase or to decrease the hours. To set the minutes, press the clock button again. The minutes flash. Turn the ADJ knob to increase or to decrease the minutes. The time can be set with the ignition on or off.

Press and HOLD the Minutes or Hours button and clock will set...
saailer

I’m happy to help further over the phone at https://www.6ya.com/expert/david_6df67de3b14de867

Setting the clock
Press the MENU control until
SELECT HOUR or SELECT
MINUTE is displayed. (The menu
mode must be engaged to enable
clock mode).
Use the SEL control to manually set
the time.
Up arrow - Press to increase
hours/minutes.
Down arrow - Press to decrease
hours/minutes.
Press the MENU control again to disengage the clock mode.
Download your owners manual from ford at no charge at this website: https://www.flmowner.com/servlet/ContentServer?pagename=Owner/Page/OwnerGuidePage

Here is a direct link to the fourth printing:
http://www.motorcraftservice.com/pubs/content/~WO2TBR/~MUS~LEN/41/02tbrog4e.pdf

Okay, I'm assuming that you were sucessful in resetting your radio code.
I'm also assuming that you have a CD player (which may not be the case).
The flashing clock also functions as an error code indicator. It should say something, indicating what the error is. You can't set the clock until the error is resolved (a disc stuck in the CD player, for example, on no disc in the CD when it's been told to play).
The procedure is as follows (which you probably know):
The audio system display usually shows the time when the ignition switch is in ACCESSORY (I) or ON (II). It shows the operation mode of the radio, cassette player, or optional CD player/changer when you operate them, then goes back to the time display after five seconds.
If an error occurs while operating the optional CD player or changer, the display will keep showing the error code and will not switch to the time display until the error is corrected. You can set the time only when the clock is displayed.
To set the hours, press the H (Preset 4) button while pressing the CLOCK (SCAN/RPT) button. Press and hold the H button until the hour advances to the desired time.
To set the minutes, press the M (Preset 5) button while pressing the CLOCK (SCAN/RPT) button. Press and hold the M button until the minutes numbers advance to the desired time.

If you don't have a CD player, or no error is showing in the clock read-out, leave a comment so I can investigate further.
Hope this helps you.

Turn the igniton to the "on" position. The radio should have two small buttons on it marked H (for hours) and M (for minutes). Press and hold the H button for a few seconds and the clock will go into a "set" mode. adjust the hours until the time is correct and then let go of the button and you will be all set.

There are three buttons, let's call them 1, 2, and 3, from left to right.


Clock
Time setting

A. 12 AM, PM or 24.00 h
With the clock in the time readout mode, keep
button (2) depressed for 4 seconds -12 AM, PM
or 24.00 flashing. After pushing button (1), either
a 12-hour (AM + PM) or a 24-hour setting
program can be selected. If you only want to
change the display mode, push button (3). The
clock then returns to its normal timekeeping
function.

B. Hours
Push button (2) a second time - hour display
flashes. Set hour by pushing button (1). After
pushing button (3)*, the clock returns to the time
readout mode with new hour setting.

C. Minutes
Push button (2) once more - minute display
flashes. Set minute by pushing button (1). Upon
pushing button (3)*, the clock is started -
accurate to within 1 second.

Stop watch function
The stop watch can only be set in motion if the
clock is in its normal timekeeping mode and not
during setting operations.
A. Push button (3) - 00:00 display appears;
B. Push button (1) - stop watch is on;
C. Push button (1) a second time - watch stops.
(Additional times can be added by pushing button
(1) again - stop watch keeps running. Push button
(1) once more to stop timing.)
D. Push button (2) - 00:00 display appears;
E. Push button (3) - normal timekeeping mode.

If button (3) is pushed during operation A and
B, the setting procedure must be restarted
(push button (2)).

if it is anythang like the 2002 eclipse gt stereo there is 2 button on the right side of the display screen hold the right one down and it will change the mins and the other 1 will change the hours

Setting the Clock for Systems with the
Set Button
Press SET. Within five seconds, press and hold the right
SEEK arrow until the correct minute appears on the
display. Press and hold the left SEEK arrow until the
correct hour appears on the display.
Setting the Clock for Systems with HR
and MN Buttons
Press and hold HR until the correct hour appears on the
display. Press and hold MN until the correct minute
appears on the display. To display the clock with the
ignition off, press RECALL or HR/MN and the time
will be displayed for a few seconds. There is an initial
two-second delay before the clock goes into the
time-set mode

Clock set
If the clock is not displayed with the ignition
switch in the ACC or ON position, you need to
select the CLK-ON mode. Press the MENU button
repeatedly until CLK-OFF mode is displayed.
Use the TUNE/SEEK button to enable CLK-ON
mode.
1. Press the MENU button repeatedly until
CLK-ON mode appears.
2. Press the MENU button again, the time will
start flashing.
3. Press the TUNE/SEEK button
or to adjust the hour.
4. Press the MENU button again; the display
will switch to the minute adjustment mode.
5. The minutes will start flashing. Press
TUNE/SEEK button or to adjust
the minutes.
6. Press the MENU button again to exit the
clock set mode.
The display will return to the regular clock display
after 10 seconds, or press the MENU button
again to return to the regular clock display.
Resetting the time
Hold the MENU button down and then press the
TUNE/SEEK button, the time will reset as follows:
c If the displayed minutes before the reset are
in the range of :00 - :29, the hour displayed
before the reset will stay the same and the
minutes will be reset to :00.
c If the displayed minutes before the reset are
in the range of :30 - :59, the hour displayed
before the reset will advance by one hour
and the minutes will be reset to :00.
For example, if the MENU button and the
TUNE/SEEK button are pressed while the time
displayed is between 8:00 and 8:29, the display
will be reset to 8:00. If the buttons were pressed
while the time was between 8:30 and 8:59, the
display will be reset to 9:00. At the same time the
display will return to the audio.