Monster to correspond with artist (7)
I believe the answer is:
chimera
'monster' is the definition.
(Chimera is an example)
'correspond with artist' is the wordplay.
'correspond with' becomes 'chime' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'chime'+'ra'='CHIMERA'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for chimera that I've seen before include "Wild creation of mind, or monster of Greek myth" , "Each rim (anag) - foolish fancy" , "figment of the imagination" , "Race him (anag.)" , "fabulous creature" .)