One problem related to transmission noise has been reported for the 2001 Chevrolet Suburban. The most recently reported issues are listed below.
I was driving on the NJ turnpike near exit 10, travelling to boston. Ahead, all traffic was stopped in both the inner and outer set of lanes. As I decelerated, I heard a noise and the truck jerked slightly. When I tried to pull off the road into the service lane, I had no transmission and had to drift to the shoulder. I was told there was a catastrophic failure of the transmission and it had to be completely rebuilt (under warranty). When the vehicle had around 70,000 miles (about 2 years ago, 2013), the transmission failed again and had to be completely rebuilt again. Pathetic. The vehicle currently has 83,000 mi on it.