Asian national heading off to travel (7)
I believe the answer is:
laotian
'asian' is the definition.
(I know that Laotian is a type of asian)
'national heading off to travel' is the wordplay.
'heading off' means to remove the first letter.
'to travel' is an anagram indicator (I've seen 'travelled' mean this).
'national' with its initial letter removed is 'ational'.
'ational' is an anagram of 'LAOTIAN'.
(Other definitions for laotian that I've seen before include "Person from southeast Asian country" , "Citizen of Vientiane, for example" , "language out East" , "Oriental" , "Thai neighbour" .)