Man without a yen and some agitated titaness (9)
I believe the answer is:
mnemosyne
'titaness' is the definition.
(Mnemosyne is an example)
'man without a yen and some agitated' is the wordplay.
'man' becomes 'm'.
'without' means one lot of letters goes inside another (some letters go outside or 'without' others).
'and' becomes 'n' (common abbreviation for 'and').
'agitated' indicates anagramming the letters.
'yen'+'n'+'some'='yennsome'
'yennsome' with letters rearranged gives 'mneosyne'.
'm' inserted inside 'mneosyne' is 'MNEMOSYNE'.
(Another definition for mnemosyne that I've seen is " Greek goddess of memory".)