Complaint linked to old arty club (7)
I believe the answer is:
groucho
'arty club' is the definition.
(private London club associated with the art world)
'complaint linked to old' is the wordplay.
'complaint' becomes 'grouch' (I've seen this before).
'linked to' is a charade indicator (letters next to each other).
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'grouch'+'o'='GROUCHO'
(Other definitions for groucho that I've seen before include "The Marx Brother with the moustache" , "Funny man" , "One of Harpo's brothers" , "A Marx; a club" , "One of four comedian brothers" .)