Odd items of fur: many are worn (4)
I believe the answer is:
fray
'are worn' is the definition.
(fray can mean to become worn)
'odd items of fur many' is the wordplay.
'odd items of' indicates alternate letters (letters in odd-numbered positions).
'fur'+'many'='furmany'
The alternating letters of 'furmany' are 'FRAY'.
(Other definitions for fray that I've seen before include "Come apart at the edges" , "Conflict; wear at edges" , "Become stressed" , "Suffer peripheral damage" , "Disturbance" .)