Also carrying suitcase for island (6)
I believe the answer is:
tobago
'island' is the definition.
(Caribbean island)
'also carrying suitcase' is the wordplay.
'also' becomes 'too' (synonyms).
'carrying' is an insertion indicator.
'suitcase' becomes 'bag' (synonyms).
'too' placed around 'bag' is 'TOBAGO'.
'for' is the link.
(Other definitions for tobago that I've seen before include "West Indian island" , "Trinidad companion island" , "Island near Trinidad" , "Caribbean island" , "Trinidad and - (WI)" .)