Working double around island to find some food (5)
I believe the answer is:
onion
'some food' is the definition.
(onion is a kind of food)
'working double around island' is the wordplay.
'working' becomes 'on' (on can mean working or activated).
'double' indicates the doubling of some letters.
'around' indicates putting letters inside.
'island' becomes 'i' (geographical abbreviation).
'on' duplicated is 'onon'.
'onon' going around 'i' is 'ONION'.
'to find' is the link.
(Other definitions for onion that I've seen before include "Plant with edible bulb" , "it can bring tears" , "Edible tear-jerker" , "Bulb used in cooking" , "Type of allium" .)