Angry young man rings most of island (7)
I believe the answer is:
osborne
'angry young man' is the definition.
(writer John Osborne of 'angry young men' movement)
'rings most of island' is the wordplay.
'rings' becomes 'Os' (O's - O looks like a ring).
'most of' means to remove the last letter.
'island' becomes 'Borneo' (Indonesian island).
'borneo' with its final letter taken off is 'borne'.
'os'+'borne'='OSBORNE'
(Other definitions for osborne that I've seen before include "13 across's IOW house" , "Q. Victoria's IOW home" , "grand island house" , "John --, English dramatist" , "Author of "Look Back in Anger"" .)