Islanders like to? (4)
I believe the answer is:
manx
If this is the answer, I'm afraid I cannot explain it.
Can you help me to learn more?
(Other definitions for manx that I've seen before include "To do with the Isle of Man - say a cat" , "Island's" , "Adjective indicating the Isle of Man" , "Kind of cat" , "From an isle in the Irish Sea" .)