Name of abstract art genius (9)
I believe the answer is:
signature
'name' is the definition.
(I know that signature is a type of name)
'abstract art genius' is the wordplay.
'abstract' indicates anagramming the letters.
'art'+'genius'='artgenius'
'artgenius' anagrammed gives 'SIGNATURE'.
'of' acts as a link.
(Other definitions for signature that I've seen before include "Squiggle perhaps" , "Distinctive mark" , "Name written by its owner" , "proof of identity" , "Identifying piece of writing, tune etc" .)