Carried on, initially, in island (6)
I believe the answer is:
borneo
'island' is the definition.
(Borneo is an example)
'carried on initially' is the wordplay.
'carried' becomes 'borne' (I've seen this before).
'initially' suggests taking the first letters.
The first letter of 'on' is 'o'.
'borne'+'o'='BORNEO'
'in' is the link.
(Other definitions for borneo that I've seen before include "Largest island of Asia" , "Oberon (anag) - island" , "Largest island of the Malay archipelago" , "Lange island of the Malay archipelago" , "Island in the western Pacific" .)