Weird noise from printer carriage

These units use plastic gears and when they start to wear, you can have noises like you describe. It could also be something on the carriage system for the print head.

the clicking sound is coming most likely from the printhead carriage, if you open the printer so you can see the cartridges, is the carriage stuck? trying to move to a direction and makeing the sound?

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First of all, check to see if you also hookup the phone cable to jack too? If yes, temporary unplug it to see if noise goes off.
Also, open the lid to check on the drive belt. It may be loose and not able to drive the carriage. There is the gear on the right side of the carriage and a pulley on left side of the of the carriage. The spring which holds the pulley tight might be broken. Check that to see if it is the case. If it is that is why it makes loud noise when printing. And if it is not fixed, eventually you will receive an error message and printer will not work.
Check that and let me know.
Thanks

>an unusual noise in the printer could be problem with printing mechanism or a carriage is jammed, try this steps about carriage jam and see if this will resole the issue

http://h10025.www1.hp.com/ewfrf/wc/document?docname=c01309787&cc=us&lc=en&dlc=en&product=3192753

This is what the HP website says about noises in the 1610..
Unexpected Noises
Issue Unexpected noise (clicking, thumping, grinding, squealing, and so forth) from an HP all-in-one can be caused by a problem with the ink carriage or the scanner. Solution Follow the steps below in the order presented to determine the source and resolution for the noise. Step one: Checking the scanner This step applies only to products equipped with a flatbed scanner.

1. Open the scanner cover.
2. With the lid open, press the Start Copy button to make a copy. The scanner mechanism should move down the glass.
3. If the scanner mechanism does not move and noise is present, contact HP. If the scanner mechanism moves without noise, continue with Step two below.

Step two: Checking for paper feed problems and carriage blocks Click here (buu03110) (in English) for more information on paper or carriage jams. Step three: Service the product If you have completed all the steps listed above and are still experiencing a problem, service the product. So it sounds like it needs to be serviced which could get expensive. I've looked all over the web for you & Keep finding the same answer. Sorry I can't come up with a better solution for you.

Sounds like an issue with the print carriage. When it's out of alignment and tries to print, it can make awful noises. HP.com has a web page that describes a number of troubleshooting steps when you have print carriage issues:

Carriage Jam Errors

There's also a related web page having to do with the noise coming from the printer:

Noisy Print Carriage

Hope this helps. Good luck.

encoda strip at the back of the carriage has come loose locate it and place it back be careful as if the strip breaks so does your printer.@ hope this was helpful

If there is a clicking chances are a gear has gone out. It should be checked out be a technician.

you may have simply just dislodged the feed assembly, remove your tray and inspect the under carriage, its a start and see for anything out of place...