A minor injury that's no handicap (7)
I believe the answer is:
scratch
I believe this is a double definition.
'a minor injury' is the first definition.
(I've seen this before)
'no handicap' is the second definition.
(scratch handicap is a zero handicap in golf)
'that's' acts as a link.
(Other definitions for scratch that I've seen before include "Withdraw - abrasion" , "Superficial wound" , "Pull out (of a race)" , "Superficial damage; withdraw" , "Abraded skin areas" .)