Seek office as an American in China, India or another country (7)
I believe the answer is:
burundi
'another country' is the definition.
'Burundi' can be an answer for 'country' (Burundi is an example). I'm unsure of the 'another' bit.
'seek office as an american in china india' is the wordplay.
'seek office as an american' becomes 'run' (US term, as in running for the presidency).
'in' is an insertion indicator.
'china' becomes 'bud' (china plate is Cockney rhyming slang for mate).
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'run' going into 'bud' is 'burund'.
'burund'+'i'='BURUNDI'
'or' is the link.
(Other definitions for burundi that I've seen before include "African state" , "Central African republic" , "part of Africa" , "Landlocked African country" , "Central African country, capital Bujumbura" .)