Party that's popular in China could get to rule (8)
I believe the answer is:
dominate
'to rule' is the definition.
('dominate' can be a synonym of 'rule')
'party that's popular in china' is the wordplay.
'party' becomes 'do' (do is a kind of party).
'that's popular' becomes 'in'.
'in' indicates putting letters inside.
'china' becomes 'mate' ('China plate' is rhyming slang for 'mate').
'in' put inside 'mate' is 'minate'.
'do'+'minate'='DOMINATE'
'could get' is the link.
(Other definitions for dominate that I've seen before include "Rule" , "Command, control" , "Be lord over" , "Master" , "corner" .)