Shabby, but put on (4)
I believe the answer is:
worn
This clue is a double definition.
'shabby' is the first definition.
(similar in meaning)
'put on' is the second definition.
(I've seen this in another clue)
'but' acts as a link.
(Other definitions for worn that I've seen before include "Damaged by long use" , "Second-hand" , "Looking tired and exhausted" , "Shabby" , "Frayed" .)