Said there will be no fighting for a bit (5)

I believe the answer is:

piece

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'bit' is the definition.
(synonyms)

I can't explain the remainder of the clue.

(Other definitions for piece that I've seen before include "Bishop, for one" , "Castle, perhaps" , "one of eight once ready for the Spanish?" , "Chessman - part - firearm" , "Portion, coin, item" .)

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