Cope with time on isle (6)
I believe the answer is:
manage
'cope' is the definition.
('manage' can be a synonym of 'cope')
'time on isle' is the wordplay.
'time' becomes 'age' (age is a kind of time).
'on' is a charade indicator (letters next to each other).
'isle' becomes 'man' (Man is an example).
'age' put after 'man' is 'MANAGE'.
'with' acts as a link.
(Other definitions for manage that I've seen before include "Take responsibility for" , "Control, direct, run" , "Exercise control - don't fail" , "Organise" , "Run; cope" .)