Batty character? No artist, anyway (4)
I believe the answer is:
nora
'batty character? no artist anyway' is the definition.
I can't tell whether this definition defines the answer.
'batty character? no artist' is the wordplay.
'batty character?' becomes 'n' (I am not sure about the 'batty' bit.).
'no' becomes 'O' (O resembles 0).
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'n'+'o'+'ra'='NORA'
Can you help me to learn more?
(Other definitions for nora that I've seen before include "Woman" , "Girl's name" , "-- Batty (Last of the Summer Wine)" .)