Part of Far East (4)
I believe the answer is:
area
'part' is the definition.
(area is a kind of part)
'of far east' is the wordplay.
'of' indicates a hidden word.
'AREA' is hidden within 'far east'.
(Other definitions for area that I've seen before include "Space for a specific purpose, say picnic" , "Locality" , "part of town" , "District; plot" , "Extent of a two-dimensional surface" .)