Right award for a dress (4)
I believe the answer is:
robe
'for a dress' is the definition.
(I've seen this before)
'right award' is the wordplay.
'right' becomes 'r' (common abbreviation).
'award' becomes 'OBE' (Order of the British Empire).
'r'+'obe'='ROBE'
(Other definitions for robe that I've seen before include "Dressing-gown" , "Clobber" , "Formal vestment" , "Gown, rich dress" , "Loose outer garment" .)