Hit with part of the sleeve (4)
I believe the answer is:
cuff
I believe this clue is a double definition.
'hit' is the first definition.
(I've seen this before)
'part of the sleeve' is the second definition.
('cuff' is part of 'sleeve')
'with' is the link.
(Other definitions for cuff that I've seen before include "A slap" , "minor assault" , "clout" , "Wrist end of sleeve" , "End of arm" .)