I used a cheap minky on the back of a quilt - lots of stretch and fuzz everywhere when I cut it... I used spray baste so it was glued to the top when I quilted it. The top kept it from stretching too much. The fuzz wasn't much of a problem other than right where I cut it, and since I wasn't quilting right on the edges didn't pose a problem. Not sure pinning a stretchy back would work very well since it will stretch and shift around the pins.