TJ runs for a little bit, then dies and won't start for about a minute

Matter of fact. OP, if you're keen on spending about 3 bucks to prove that your skim circut is working properly, You can go have a key cut for a 1997 jeep (with your pattern of course) at a hardware store and see if the jeep stalls within a few seconds of starting with that key. If it doesn't, then ill have to eat my own words.
 
Sorry, but if the SKIM circuit is damaged, broken, faulty, etc. than the vehicle will LIKELY still start & run for a short period.
I know this because we have a key WITHOUT a chip (it was cut as a spare for the door locks long before I owned the Jeep), and if I try to use this key to drive with, it operates EXACTLY as the OP listed... it runs for a short period of time (while the 'no key' light is on), then it shuts off.
Thus the reason I questioned if the symptoms still continue with a 2nd key; to eliminate the chip as a possible root cause.
The fact that the symptoms exist using the 2nd chipped key strongly suggest an issue w/ the SKIM circuit.
x2. Argued with the guy that my key wasn't chipped in my 2000. I was wrong, he was right... it would start, run a minute or so, then shut off
 
x2. Argued with the guy that my key wasn't chipped in my 2000. I was wrong, he was right... it would start, run a minute or so, then shut off
Lol, I did the same when I first got mine. Ended up walking out without a key. Then one day I started it and pulled the key out too fast and it stalled. Realized right then, that I had skim.

That being said, I still stand by my statement that this can't be a skim issue if it runs long enough to get part way home. It would stall before OP could even move three feet.
 
Lol, I did the same when I first got mine. Ended up walking out without a key. Then one day I started it and pulled the key out too fast and it stalled. Realized right then, that I had skim.

That being said, I still stand by my statement that this can't be a skim issue if it runs long enough to get part way home. It would stall before OP could even move three feet.
That makes sense. I don't know much about those chips. Thought maybe they "flicker" as they go out? I usually try to rule out the cheap stuff first. Sounds like Op has few other options to try
 
so my jeep had this problem not to long ago. i was on my way home from work and it died out of nowhere. when it died all my gauges went off and all lights went off even though my key was still on. then a couple seconds later the gas light and the key warning light came on. about a minute or two it started back but then died again shortly after. did an alternator check and the alternator is fine. would say a fuel pump but i’m not sure why the gauges would do that for a bad fuel pump. any ideas?

So, what was the outcome afterall? I've a 2006 jeep wrangler X that started doing the same thing the past few days.
 
So, what was the outcome afterall? I've a 2006 jeep wrangler X that started doing the same thing the past few days.

I also need this answer😂 mine started doing the same thing about 3 days ago. just randomly died 2 times while driving home. Both times I was able to restart it after some cranking and it’s happened 4 more times in the past 24 hours. And as of 30 minutes ago, it also now has a bit of a rev hang issue. My research has seen a lot of people pointing to replace either the fuel pump or the crankshaft position sensor. I already had ordered a new fuel pump assembly earlier this week as mine has been having issues but i’m probably going to order the CPS aswell considering they are rather cheap on rock auto.
 
I also need this answer😂 mine started doing the same thing about 3 days ago. just randomly died 2 times while driving home. Both times I was able to restart it after some cranking and it’s happened 4 more times in the past 24 hours. And as of 30 minutes ago, it also now has a bit of a rev hang issue. My research has seen a lot of people pointing to replace either the fuel pump or the crankshaft position sensor. I already had ordered a new fuel pump assembly earlier this week as mine has been having issues but i’m probably going to order the CPS aswell considering they are rather cheap on rock auto.

I replaced my crankshaft position sensor today with no luck. Mine will run from 2 to 8 minutes whether throttled up or at an idle before it stutters and dies and I noticed part of the time just a few secomds before it does, the rpm gauge falls to zero and at times all the guages fall to zero (just a few seconds before it happens). Surely someone will have an answer for us.
 
That's all the telltale signs of a bad crank position sensor (or cam sensor, both work together to make stuff go). If you've changed the sensors, I would investigate the wiring, especially the part of the harness that goes back behind the valve cover.
 
That's all the telltale signs of a bad crank position sensor (or cam sensor, both work together to make stuff go). If you've changed the sensors, I would investigate the wiring, especially the part of the harness that goes back behind the valve cover.

Thanks for the input. I'm still battling this and zero code errors showing now. It's been a mess and problem still happening. I need muh jeep. ; )