If the Chrysler is only making a clicking noise and will not start, check the starter. Also check the alternator, and the battery. The starter solenoid is more than likely the reason the car is clicking and not starting.
it is the door alarm
I have the same car with the same clicking noise right after you start the engine. The noise stops shortly after starting. There was a recall from Chrysler for this problem. Contact your local dealer regarding this matter.
h/lamp & tns relay clicking when car is off & car will not start
A clicking noise after changing an air filter on a car could indicate there is a problem. You should consult a car care professional.
A loud fast clicking noise is usually indicative of a low battery or a loose cable.
One or both of you're drive axle bearings is dry
Where is the clicking coming from? Within the engine compartment or inside the car?
Starter solenoid shot. Replace Starter.
The brakes may make a clicking noise if the caliper is going bad. I just changed the brakes and the rotors and discovered my car was making a clicking noise. The garage I took it to replaced the caliper, so now it doesn't make the noise anymore.
The speedometer cable is either worn out or loose.
A loose belt that becomes more noticeable at cold temperatures.