Character synonymous with a fan of drama (4,10)
I believe the answer is:
lady windermere
'fan of drama' is the definition.
I know nothing about this answer so I cannot judge whether this works.
'character synonymous with a' is the wordplay.
I cannot quite see how this works, but
'character' could be 'y' and 'y' is found within the answer.
'with' could be 'w' (abbreviation) and 'w' is found in the answer.
'a' is within the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Another definition for lady windermere that I've seen is " her of the fan in the theatre".)