yeah i actually had almost the same thing happen once, and only once. I started the Jeep to back it into my garage for the night, instruments did their little self check thing, chime went off for the seatbelt, all the norm. So I put it in reverse and start backing up, and I hear the chime cycle going AGAIN.....I looked down and all the lights were on, just like it cycled through its start up check again.....i froze and just started staring at it and everything stayed fine. Engine ran just fine, no signs of engine missfire or the alike.....hasn't done it again to this day....and this was probably 8 months or so ago.
I even restarted the engine 2 or 3 times again to see if it would do it again, but no go. And I know I wasn't seeing things...im not that crazy...LOL.
Did a code check right after and it didn't throw any, so I can only assume it was one of those "Jeep quirks". This being my 1st Jeep, i'm still getting used to them...lol.