So when I take off after the Jeep has been sitting over night or for a few hours it feels like my rear right end wobbles a little bit(kinda like a flat) but then it fixes itself and it doesn't happen at small stops. Only sitting for a long period of time. Wondering what the issue might be or if you guys have had similar issue/s?

I drive a 1990 jeep Cherokee 4.0 on stock axles and all that as far as I am aware.

 

Tires flat spotting.

 

Tires would be my first guess. Swap the rears to the front and see if the wobble follows.

 

Tire issue.

 

I literally replaced my tires a week ago. It's not tires.

 

You might be surprised.

Was this an issue before tires then?

 

It was an issue before I got new tires. My right rear did have a break in the bead and the tire was going flat over night but I expected the issue to fix with new tires.

 

Weird that it only happens when cool if its not the tires. Best thing you can do is lift that side, check all bushings on the suspension, sticking brakes, bent axle, wheel bearing... could be any number of things. Just weird it sounds like it goes away once warmed up. Have someone drive behind you and see if that back side is wobbling. Could be a bent rim that you just so happened to end up on the same corner.