Is inclined to stop in the back-street (5)
I believe the answer is:
tends
'is inclined' is the definition.
('tend' can be a synonym of 'be inclined')
'stop in the back-street' is the wordplay.
'stop' becomes 'end' ('end' can be a synonym of 'stop'**).
'in the' indicates putting letters inside.
'back' is a reversal indicator.
'street' becomes 'st'.
'st' in reverse letter order is 'ts'.
'end' put inside 'ts' is 'TENDS'.
'to' acts as a link.
(Other definitions for tends that I've seen before include "Leans" , "Dents (anag.)" , "Dresses" , "nurses" , "Is inclined" .)