Greek character recently acquired hobby (9)
I believe the answer is:
philately
'acquired hobby' is the definition.
'philately' can be an answer for 'hobby' (I've seen this before). I am not sure about the 'acquired' bit.
'greek character recently' is the wordplay.
'greek character' becomes 'phi' (letter from the Greek alphabet).
'recently' becomes 'lately' (synonyms).
'phi'+'lately'='PHILATELY'
Can you help me to learn more?
(Other definitions for philately that I've seen before include "The hobby of stamp collecting" , "Study of postage stamps" , "interest in stamps" , "pursuit" , "Stamp-collecting" .)