Crossword Genius

A bit for each person (6)

Ross

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" .)

I've seen this clue in The Times.
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