This has happened to me before. Not in a Jeep, but in a VW Passat. The cause was defective turn signal switch. The dealer replaced it at no cost although the car was past warranty age/mileage. The reason they replaced it at no cost is because it is potentially a safety issue and, at least then (I'm talking 8 years ago) the policy of VW was to treat safety issues as "lifetime" warranty. Some of my friends had similar defect in different European-made cars, and all of them were corrected under warranty, or as safety issue with no cost to the owner.
From what I read here, it looks like a frequent problem in Jeep. Chrysler should correct this for free, or even make a voluntary recall.