Recently supporting Greek character's hobby, maybe (9)
I believe the answer is:
philately
'hobby maybe' is the definition.
(stamp collecting or philately is a hobby)
'recently supporting greek character's' is the wordplay.
'recently' becomes 'lately' (synonyms).
'supporting' is a charade indicator (letters next to each other) (in a down clue, some letters go below others).
'greek character' becomes 'phi' (letter from the Greek alphabet).
'lately' after 'phi' is 'PHILATELY'.
(Other definitions for philately that I've seen before include "The hobby of stamp collecting" , "pursuit" , "Stamp-collecting" , "Collecting little stickers" , "interest in stamps" .)