The dominance of Mr Yates, maybe (7)
I believe the answer is:
mastery
'the dominance' is the definition.
(mastery is a kind of dominance)
'mr yates maybe' is the wordplay.
'maybe' indicates an anagram.
'mr'+'yates'='mryates'
'mryates' is an anagram of 'MASTERY'.
'of' is the link.
(Other definitions for mastery that I've seen before include "dominion" , "Supremacy" , "Expert skill" , "Control - supreme skill" , "Acquirement" .)