In East End that man's going to relent (4,3)
I believe the answer is:
ease off
This clue is a double definition.
'in east end that man's going' is the first definition.
(sounds like he's off said with cockney accent)
'relent' is the second definition.
(thesaurus)
'to' acts as a link.
(Other definitions for ease off that I've seen before include "relax" , "Remove some pressure" , "Throttle back" , "relieve tension" , "Slacken gradually" .)