One problem related to tailgate hinge has been reported for the 2001 Chevrolet Suburban. The most recently reported issues are listed below.
I have Suburban 2001, the rear window (tailgate window) glass separated from the hinges suddenly. This is common problem in gm Suburbans and I am afraid this may result in a serious accident as the tailgate window may separate, fly off and hit something. I am not sure if the window will fly off, mine was hanging from one hinge until I corrected it.