Just to prepare you. You can't typically go into most dealers and request a TSB, you have to describe the symptoms and hope the dealer tech will pick up on it (perhaps a suggestion would help).
In the initial 36 mo warranty typically there usually is no issue. Beyond 36 months they may want a diagnostic fee to first determine what the issue is. If a warranty item, the fee is covered, otherwise you eat it. Some dealers don't charge the diagnostic fee if its obviously driveline related. Out of warranty, its like any other repair, you pay them a diagnostic fee and they determine the issue and they charge you to make the repair if you chose to do it there... wether its covered by a TSB or not.
Recalls are different, they are always covered.
2011 Grand Cherokee Overland V8, 2009 Liberty Rocky Mt V6, 2000 Grand Cherokee Laredo I6, 1979 CJ7 I6 Quadratrac