Leave one's country to live elsewhere (8)
I believe the answer is:
emigrate
'leave one's country to live elsewhere' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for emigrate that I've seen before include "Tiger Mae has gone abroad to live, oddly" , "Leave home" , "leave for ever" , "Go to live abroad" , "Gear item (anag.)" .)