See my profile, Imma CJ Kiinda Guy, I'm a member like you, I do not know specifics of your rig.
You seem to know a little about your rig (starting)
The only thing I can think of about the clicking and no starting is that your SOLENOID is bad, or the Positive Cable, going to or leaving the solenoid to the starter has a dirty or loose connection.
The normal (old fashioned) way to locate the Solenoid is to follow the POSITIVE BATTERY CABLE, IT WILL USUALLY TAKE YOU TO THE SOLENOID.
I do not know your system at all, but my SOLENOIDS are on the fender, and on mine I would remove the wires (all) wire brush them and reinstall TIGHT!
I might even clean the Battery posts, cable clamps, WHERE THE CABLES JOIN ON TO THE CLAMPS. ETC.
Check and clean the ground Cables (Neg BAT Cable, both ends) on the Engine and frame if you have one there.
Once all of this is done, MAYBE JUST MAYBE, alternator will charge.
Remove the connectors on it (several times on and off) to sorta scrape the connections clean. Tighten all wires that "BOLT ON"
Do you have a Voltmeter to test the battery (Jeep OFF) and then TEST while runningTest at the BATTERY POS and NEG Posts. Alternator Charging (with a "charged" Battery) should be over 13.5 VOLTS and under 16 VOLTS
If your battery needs charging, you may show a lower reading until you are charged up.
Never the less, if you are charging, "RUNNING READING" WILL BE MORE THAN "OFF READING"!
If you cannot perform this test, Autozone or Advance Auto will do it for FREEEEEEEEEE!
They are dealing with these type problems ALL THE TIME. And they may become your FREE mechanic, as far as diagnosis and explaining things
If you are capable, do all the connector cleaning and tightening, before you go there, to eliminate Those Factors out of the Equation!
Reply below with Good News!
The Medic
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Tuesday, December 17th, 2019 AT 7:10 PM