Disney's dog naughty outside clubs for wealthy elite (10)
I believe the answer is:
plutocracy
'wealthy elite' is the definition.
(plutocracy means rule by a wealthy elite)
'disney's dog naughty outside clubs' is the wordplay.
'disney's dog' becomes 'pluto' (I've seen this in another clue).
'naughty' becomes 'racy' (synonyms).
'outside' indicates putting letters inside.
'clubs' becomes 'c' (abbreviation used in card games such as bridge).
'pluto'+'racy'='plutoracy'
'plutoracy' going around 'c' is 'PLUTOCRACY'.
'for' acts as a link.
(Other definitions for plutocracy that I've seen before include "Government by the wealthy" , "wealthy elite" , "rich people in government" .)