My Jeep Has No Reverse. Drives And Shifts Perfect But When I Put It In Reverse It Makes A Loud Racket And Sounds Like Im Tearing Something Up. What Could It Be?

Do not know what year your Jeep is, but it could be something as simple as the shifter cable.
Especially since you say that all the other gears are working fine and you hear a loud racket when engaging reverse gear.
Would check that first.
If that isn't the problem, then leave me a comment telling me what year and make the vehicle is and if you have an engine light on.

You don't say if this is a manual or automatic.either way I would say you have dropped a gear. Sounds like your transmission is not engaging the gear all the way and is chattering trying to go into gear..that or your getting ready to grenade(tear up) the  rest of the transmission from a loose or broken part...sounds more like the reverse idler not engaging or disengaging all the way...the other thing is somehow oil made its way into the transmission(clutch pack) and now your rings are burnt letting the transmission slip causing the noise(chattering noise)...www.indiacar.com

The first signs of the transmission going in all vehicles is the reverse makes a noise, this means that you need to get a new one or get the one in there now rebuilt they usually run like $450 for the trans and $300 for the labor, but don't quote me it may vary in your state/country

P.S. The amounts I gave you were USD

I had the same problem it was the a problem with shift linkage