A person’s first month outside country (5)
I believe the answer is:
japan
'country' is the definition.
(Japan is an example)
'a person's first month outside' is the wordplay.
'person's first' becomes 'p' (1st letter of 'person').
'month' becomes 'jan' (Jan is short for January).
'outside' means one lot of letters goes inside another.
'a'+'p'='ap'
'ap' inserted inside 'jan' is 'JAPAN'.
(Other definitions for japan that I've seen before include "Twelve [VARNISH]" , "black gloss" , "Country and decorated black lacquerware" , "Country in Far East" , "Glossy coating" .)