Possibly airs a robe (4)
I believe the answer is:
sari
'a robe' is the definition.
(I've seen this in another clue)
'possibly airs' is the wordplay.
'possibly' is an anagram indicator.
'airs' anagrammed gives 'SARI'.
(Other definitions for sari that I've seen before include "Asian dress" , "Indian costume" , "Hindu woman's dress" , "Hindu female garment" , "Something worn" .)