Fight for what's left (5)

I believe the answer is:

scrap

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'fight' is the definition.
(a scrap is a minor fight)

I can't explain the rest of the clue.

(Other definitions for scrap that I've seen before include "Ditch - fight" , "Drop" , "Axe" , "Tiny piece; abolish" , "A little bit of a fight" .)

I've seen this clue in The Mirror.

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