UN member since 1966 (8)
I believe the answer is:
barbados
'un member since 1966' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for barbados that I've seen before include "Caribbean location" , "Island in West Indies, capital Bridgetown" , "Most easterly West Indies island" , "Bridgetown is its capital city" , "holiday island" .)