Sounds like the starter solenoid or relay.
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If lights dim when you turn the key then the car is sending power to the starter but the starter is not engaging ( just a shade tree mechanic so I could be wrong) but like I said try hitting the starter at the same time someone is trying to start the Jeep.
Turns out to be the soloniod...I convinced it with my convincing tool and it works agian.
I was told to bridge the negative battary cable going into the starter and the one for the soloniod...if nothing happened the soloniod was dead if it sparks and turns its not dead. It sparked and didn't turn so I was told its stuck and needed to be convinced to be unstuck.
Was also told I would be needing to buy a new one soon so there it is.
I am a Master Technition in the Tucker area . is it a 4.0 motor Auto or manual trans. Text me at 678-491-3943 and I will try to walk you though the basic .. Don't hesitate we are all in need of help sometime