Supermodel is clingy type a Rolling Stone avoids (4)
I believe the answer is:
moss
I'm afraid I can't even guess how this answer relates to the clue.
Can you help me to learn more?
(Other definitions for moss that I've seen before include "Small flowerless green plant without proper roots" , "Veteran racing driver" , "Small flowerless plant(s)" , "Supermodel Kate, b.1974" , "Clear < tiny plants" .)