Writer having home in South East (6)
I believe the answer is:
scribe
'writer' is the definition.
(scribe is a kind of writer)
'home in south east' is the wordplay.
'home' becomes 'crib' (informal term for someone's home).
'in' means one lot of letters goes inside another.
'south east' becomes 'SE' (abbreviation).
'crib' going inside 'se' is 'SCRIBE'.
'having' is the link.
(Other definitions for scribe that I've seen before include "Writer of other days" , "Ancient copyist of manuscripts" , "A writer of old" , "Medieval clerk" , "Copier of (handwritten) documents" .)