Dominance saint possesses (5)
I believe the answer is:
holds
'possesses' is the definition.
'dominance saint' is the wordplay.
'dominance' becomes 'hold'.
'saint' becomes 's'.
'hold'+'s'='HOLDS'
(Other definitions for holds that I've seen before include "Clutches" , "Grips" , "Grasps" , "Maintains" .)