Old fellow’s country (4)
I believe the answer is:
oman
'country' is the definition.
(Oman is an example)
'old fellow's' is the wordplay.
'old' becomes 'o' (abbreviation).
'fellow' becomes 'man' (fellow can mean a man).
'o'+'man'='OMAN'
(Other definitions for oman that I've seen before include "Arabian country, capital Muscat" , "Arabian peninsula country" , "Arab state" , "Gulf sultanate" , "Middle Eastern country" .)