Fights for food left over (6)

I believe the answer is:

scraps

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'fights' is the definition.
(I know this)

I don't understand how the rest of the clue works.

(Other definitions for scraps that I've seen before include "Abandons as unworkable" , "Small fragments" , "Small pieces left over" , "Discarded bits of food" , "Quarrels" .)

I've seen this clue in The Globe and Mail.

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