One thing that can cause a clicking noise under the car is when the bar bushings get worn out on the sway bar. Also, it could be coming from the struts if strut oil is leaking. Other things that can cause a clicking noise if not working properly are the exhaust system and the transmission clutch assembly.
If the 1996 Olds Aurora will not start and there is a clicking noise from under the front panel, check the starter. The clicking noise is probably from the starter solenoid.
That's what relays do when they are energized.
If clicking while trying to start then might be a bad starter. If clicking while running, then might be valve/lifter noise.
Could be your brake pads shifting in the calipers which is normal in some cars. You should have your brakes looked at just to be safe.
A bad cv joint/axle shaft on the front will make a clicking noise when turning.
It is a safety-switch noise that does not allow you to put the vehicle in reverse until the vehicle comes to a complete stop. I was told that this is normal (2002-2006), but I do not understand how Honda could release a product that has such a noise.
That is the neutral safety switch making the click sound.
Mine had a clicking noise and it turned out to be the front passanger side axle assembly.
Brakes
it is not the hazard system, but comes from the speedo cable which is routed behind the dashboard thus making it sound like the flasher unit.
Coming from the drive wheels? Could be worn CV joints
CV Joints are the most common cause.