Fights for leftovers (6)
I believe the answer is:
scraps
This clue is a double definition.
'fights' is the first definition.
(I've seen this in another clue)
'leftovers' is the second definition.
(I've seen this in another clue)
'for' is the link.
(Other definitions for scraps that I've seen before include "Fragments for fights" , "Discarded pieces of food" , "43 [WASTE]" , "Quarrels" , "Bits and pieces, or slang fights" .)