Remaining socialist, a maiden maybe (4,4)
I believe the answer is:
left over
'remaining' is the definition.
(synonyms)
'socialist a maiden maybe' is the wordplay.
'socialist' becomes 'left' (associated in meaning).
'a maiden maybe' becomes 'over' (I've seen this in other clues).
'left'+'over'='LEFT-OVER'
(Other definitions for left over that I've seen before include "Not used up" , "Spare, remaining" , "Surplus" .)