Far Eastern housing quarter (4)
I believe the answer is:
area
'quarter' is the definition.
(thesaurus)
'far eastern housing' is the wordplay.
'housing' says the answer is hidden in the clue (part of the clue houses the answer).
'AREA' is hidden within 'far eastern'.
(Other definitions for area that I've seen before include "topic" , "Length multiplied by breadth" , "part of town" , "Extent of a two-dimensional surface" , "Space occupied by something" .)