Celebrities go after county that's abandoning young artist (10)
I believe the answer is:
surrealist
'artist' is the definition.
(I know that surrealist is a type of artist)
'celebrities go after county' is the wordplay.
'celebrities' becomes 'alist' (A-list).
'go after' means one lot of letters go next to another.
'county' becomes 'surre' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'alist' put after 'surre' is 'SURREALIST'.
'that's abandoning young' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for surrealist that I've seen before include "Magritte perhaps" , "Breton, say" , "Avant-garde artist" , "Dali or Magritte, for example" .)