Not rich in Greece (7)
I believe the answer is:
corinth
'in greece' is the definition.
(I know that Corinth is part of Greece)
'not rich' is the wordplay.
'not rich' anagrams to 'CORINTH'.
However, I am not sure how this is indicated.
Can you help me to learn more?
(Other definitions for corinth that I've seen before include "Greek port and city, important since classical times" , "Mediterranean port" , "Greek Gulf, isthmus city" , "City of Greece" , "Ancient Greek city" .)