PMA-700AE RELAY CLICKING - 2003 Toyota Celica

PROBABLY A FAULTY RELAY. OPEN RELAY BOX, FEEL RELAYS (WHICH 1 IS CLICKING, ID RELAY & REPLACE. GOOD LUCK. IF IT CONTINUES W NEW RELAY , ELECTRICAL SHORT. (SOUNDS LIKE A BAD RELAY)

Are you sure it isn't relay 56? That is the start relay. Try swapping that one.
http://www.fordservicecontent.com/Ford_Content/catalog/owner_guides/02expog6e.pdf
Do It Yourself Diagnosis and Repair

Change bulbs and or reseat bulbs. Flaher relay may be bad. Check for clicking noise once you engage signals. If no clicking noise then flasher realy is bad or needs reseated. The clicking noise is your flaher relay. If you dont hear any clicking more than likely flasher relay is your problem. Easy fix

Clicking typically comes from a relay. Low voltage causes relays to chatter (click). The low voltage could be because of low battery or a bad connection to the relay. The relay could be bad itself. Find out where the clicking relay is and see if you can swap it with another one in the vehicle temporarily to see if the symptoms change. if they do; the relay is bad. If not, you will need to find the bad connection, unless your battery is bad.

Does the car still start?
Do the warning lights and gauges turn on when the key is turned to on? I believe that is part of what the ignition relay serves. Is it located above the instrument panel fuse box? If so, there are 2 or 3 other relays there: an accessory relay, an ECCS relay, and possibly a fuel pump relay. If you hold a finger lightly on each relay when the clicking occurs, you should find the one clicking. It could be a faulty relay, or the wiring for the relay needs checked.

try replacing the relay that is clicking

Check the four way hazard switch - wiring problem, may be faulty or in a partially on position.

OK...this definetly sounds like the starter/solenoid, but not because it is faulty, but possibly due to low battery power......this clicking you are hearing might be the starter relay........what checks have you done already

does it click when engine is running if not it was just lack of battery voltage making relay click

Check the cable that goes from your battery to the fuse box the relay that is clicking is on. Check for lose bolts or corrosion of the contacts or something like that. If the relay is clicking it sounds to me like it is a voltage issue going to the relay.