Make cosy home around region in Asian parts? (4,4)
I believe the answer is:
near east
'asian parts?' is the definition.
(part of Asia)
'make cosy home around region' is the wordplay.
'make cosy home' becomes 'nest' (as in a bird nesting).
'around' is an insertion indicator.
'region' becomes 'area' (synonyms).
'nest' placed around 'area' is 'NEAR EAST'.
'in' acts as a link.
(Other definitions for near east that I've seen before include "where ancient civilisations developed" , "group of countries" , "Iran and Iraq, etc" , "The Levant" , "where communities are often in conflict" .)