A bit for each (6)

I believe the answer is:

apiece

'each' is the definition.
(synonyms)

'a bit' is the wordplay.
'bit' becomes 'piece' (synonyms).
'a'+'piece'='APIECE'

'for' acts as a link.

(Other definitions for apiece that I've seen before include "for everyone" , "For or by each one of group" , "Per person" , "A head" .)

I've seen this clue in The Irish Independent.

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