Complain about name-dropping in club (7)
I believe the answer is:
groucho
'club' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.
'complain about name-dropping' is the wordplay.
'complain' becomes 'grouch' (grouching is a kind of complaining).
'about name-dropping' becomes 'o' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'grouch'+'o'='GROUCHO'
'in' is the link.
Can you help me to learn more?
(Other definitions for groucho that I've seen before include "One of four comedian brothers" , "One of Harpo's brothers" , "One of Marx Brothers" , "Funny man" , "The Marx Brother with the moustache" .)