Found this direct quote from another person experiencing the same "turn signal noise" that seems to be infamous with the grand am. Now depending on your car model the location of this box might be different but now that you know what you are looking for maybe it will help you.
"The fix for this is easy and free. The problem is caused by contaminated grease which has bridged contacts of the multifunction switch. This cause a short circuit which cause the hazard flasher to cycle. You need a #25 torx and a # 10 torx. Remove the 3 #25 torx screws which hold plastic surrounding the steering column. Remove the plastic. Remove the 25 torx screw on the top of the multi function switch. Detatch the wiring connectors. Remove the multifunction switch. Use the #10 torx to remove all the #10 torx screws. Remove the cover and clean the grease off the contacts and copper switch plate.You will notice grease has bridged the some of the slots in switch plate. Clean it up and regrease. reverse steps to reinstall. Notice the metal peice protruding from the multi function as it facing you. This is the turn signal reset switch. When you turn this is what resets the turn signal when the wheels straighten. This needs to be pushed in so no more than 1/8 " is protruding. If you don't do this before reinstalling your horn may go off when ever you move the steering wheel after reinstallation. This whole job should take 20- 45 minutes based on your mechanical apptitude."
the flasher relay.
the clicking sound is the blinker. when you signal to turn with your blinker the light flashes and makes a clicking sound.
Flasher is under the dash, drivers side, follow the clicking sound the signal makes when turned on. That sound comes from the flasher. If signal is staying on it could be you have a bulb or two out. Check your signal lights before replacing the flasher.
Ya mine does that also every time I drive. NOTE TO SELF: NEVER BUY AMERICAN TRASH AGAIN!!!
press the turning signal idiot
stater or silanoid
A click and no lights is an indication of a loose battery cable. Also, the battery may have a dead cell and won't take/hold a charge.
On the 1979 B200 Sportsman V8 if the brake pedal makes all signal lights come on and hazards and flashers do not work on their own, it could be the flasher, but the culprit could also be a burned out bulb or a short in the wiring.
google "multifunction switch" -- basically, it's a buildup of grease in the housing of your turn signal stalk which activates the circuit and makes that clicking sound even when the signal is off. The fix-it solution is to open the housing and clean the grease off the contacts.
The turn signal switch is directly under the steering wheel. the flasher...(the device that makes the lights blink and is activated by the turn signal switch) is usually under the steering column between the column and pannel
Ignition switch
Weak battery or starter motor shorted out internally.