Asian in Asia went off with European (9)
I believe the answer is:
taiwanese
'asian' is the definition.
(I know that Taiwanese is a type of asian)
'asia went off with european' is the wordplay.
'off with' is an anagram indicator.
'european' becomes 'E' (abbreviation e.g. EU).
'asia'+'went'='asiawent'
'asiawent' mixed up with 'e' gives 'TAIWANESE'.
'in' acts as a link.
(Other definitions for taiwanese that I've seen before include "Eg, native to Taipei" , "These islanders" , "Asian" , "Chinese" , "Islander" .)