A bit for each person (6)
I believe the answer is:
apiece
'for each person' is the definition.
(I've seen this before)
'a bit' is the wordplay.
'bit' becomes 'piece' (synonyms).
'a'+'piece'='APIECE'
(Other definitions for apiece that I've seen before include "For or by each one of group" , "for everyone" , "A head" , "Per person" .)