Rejected temptation to stop in Greater Manchester town, becoming ravenous (10)
I believe the answer is:
insatiable
'ravenous' is the definition.
(thesaurus)
'rejected temptation to stop in greater manchester town' is the wordplay.
'rejected' says the letters should be written backwards.
'temptation' becomes 'bait' (bait is a kind of temptation).
'to stop' is an insertion indicator.
'greater manchester town' becomes 'sale'.
'bait' reversed gives 'tiab'.
'in'+'sale'='insale'
'tiab' placed into 'insale' is 'INSATIABLE'.
'becoming' acts as a link.
(Other definitions for insatiable that I've seen before include "Having desires impossible to satisfy" , "that could describe monstrous appetite" , "Unquenchable" , "Never satisfied" , "can't get enough of it" .)