Possibly airs a garment (4)
I believe the answer is:
sari
'a garment' is the definition.
(sari is a kind of garment)
'possibly airs' is the wordplay.
'possibly' indicates an anagram.
'airs' anagrammed gives 'SARI'.
(Other definitions for sari that I've seen before include "Traditional dress of Indian women" , "Indian robe" , "Traditional dress of Hindu women" , "habit" , "South Asian garment (variant spelling)" .)