Possibly Hamish’s second country dwelling (4)
I believe the answer is:
scot
'possibly hamish's' is the definition.
(common Scottish name)
'second country dwelling' is the wordplay.
'second' becomes 's' (common abbreviation).
'country dwelling' becomes 'cot' (archaic word for a cottage).
's'+'cot'='SCOT'
(Other definitions for scot that I've seen before include "Eg, Edinburgh native" , "Someone from north of the border?" , "National" , "Someone from Dundee?" , "Native of country of the UK" .)