napworn

adjective2

1. •
   Having its fuzzy surface worn down or off.

   • his hat, which had grown nap-worn and round edged through use — 1822
2. •
   Wearing clothing of worn material.

   • […] lichen grew on an ancient fence like an old old sheep’s coat; and stroking it with my hand once made me feel how old and lusterless and napworn you might be. — 1950