Article penned by an Edinburgh man, possibly, in Greek (8)
I believe the answer is:
athenian
'greek' is the definition.
(I know that Athenian is a type of greek)
'article penned by an edinburgh man possibly' is the wordplay.
'article' becomes 'the' (the definite article).
'penned by' is an insertion indicator (inserted letters are penned in).
'edinburgh man possibly' becomes 'Ian' (common Scottish name).
'the' put within 'an' is 'athen'.
'athen'+'ian'='ATHENIAN'
'in' is the link.
(Other definitions for athenian that I've seen before include "Native of Grecian capital" , "of capital city" , "Inhabitant of Greece's capital" , "Resident of Greek capital" , "Denizen of Greek capital" .)