No westerner outside is obliged (4)
I believe the answer is:
owes
'is obliged' is the definition.
(I've seen this in another clue)
'no westerner outside' is the wordplay.
'outside' indicates the answer is hidden within the clue (a word is around or outside the answer).
'OWES' is hidden in the letters of 'no westerner'.
(Other definitions for owes that I've seen before include "still hasn't paid" , "Is in debt to" , "Has to pay" , "Is indebted to" .)