Crossword Genius

Citrus fruit pieces, set in ice, lent finesse (10)

Ross

I believe the answer is:

clementine

'citrus fruit' is the definition.
(I've seen this before)

'pieces set in ice lent finesse' is the wordplay.
I cannot quite understand how this works, but
'pieces' could be 'men' (man can mean a chess piece) and 'men' is located in the answer.
'in' is present in the answer.
This may be the basis of clue (or it may be nonsense).

(Other definitions for clementine that I've seen before include "juicy type" , "suits citrus production" , "Unwell" , "was loved by Churchill" , "my darling girl?" .)

I've seen this clue in The Guardian.
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