Worn at the edges (6)
I believe the answer is:
frayed
'worn at the edges' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for frayed that I've seen before include "Ravelled at the edges" , "Tattered along the edges" , "in tatters" , "Became strained" , "Threadbare and worn" .)