Mine did the exact same thing today!!! It is now in my work parking lot sitting there as huge paper weight.
Did you have any other electrical problems mine was with the left turn signal as well but I thought I fixed it. I haven't put new battery wires in yet but I was meaning to after I replaced my battery after my last one fried mysteriously.
Check out this website and if you could try any of those methods that are mentioned on the website could you please let me know so I can fix mine?
OK, I will start by saying I have owned five generations of Jeeps. I just purchased my 5th as a matter of fact. It's a 1997 TJ Sport. My turn signals had the problems everyone her was describing. You can fix the problem yourself. I will explain step by step.
1. take the three screws out that hold the steering column trim together.
2. There are three t-25 screws that has to be taken out of the metal holding clamp.
3. unplug the wiring harness that goes into the back of the multi function switch (brights, turn signal and flasher)
4. pull it out and take the 4 screws out of the housing.
5. being very careful to take it apart as some pieces might fall out.
6. clean all the lithium grease off of the brass terminal and sand down all the contact points.
7. put it back together and test it out.
The problem is that the lithium grease Chrysler uses get very dirty and conducts electricity to more than one point inside and cause all kinds of crazy problems with the turn signals. The same problem with the connectors on the back of the Gauge cluster. They use lithium grease and when the moisture cause its to corrode and connections get messed up. I have figured out everything, but the horn. I can't get it to work. I have replaced the relay and everything else. Still no horn. Hopefully this helped you guys and good luck!
Try that as well.