Refuse to provide exits (8)
I believe the answer is:
leavings
This clue is a double definition.
'refuse' is the first definition.
(I've seen this before)
'exits' is the second definition.
(I've seen this before)
'to provide' acts as a link.
(Other definitions for leavings that I've seen before include "Crumbs!" , "Refuse" , "Worthless remnants" , "exits" , "Svengali (anag.)" .)