Lets boxing man off in scraps (8)
I believe the answer is:
remnants
'scraps' is the definition.
('remnant' can be a synonym of 'scrap')
'lets boxing man off' is the wordplay.
'lets' becomes 'rents' ('rent' can be a synonym of 'let').
'boxing' indicates putting letters inside ('box' can mean contain, as in to put in a box).
'off' indicates anagramming the letters.
'man' with letters rearranged gives 'mna'.
'rents' going around 'mna' is 'REMNANTS'.
'in' acts as a link.
(Other definitions for remnants that I've seen before include "Stern man has left-over pieces" , "Pieces of fabric left over" , "Remaining pieces of cloth" , "Surviving fragments" , "hangovers" .)