Hollywood star who could move into elite domain (7,4)
I believe the answer is:
matinee idol
'hollywood star' is the definition.
(old-fashioned term for a handsome actor)
'could move into elite domain' is the wordplay.
'could move into' is an anagram indicator (the letters move around).
'elite'+'domain'='elitedomain'
'elitedomain' is an anagram of 'MATINEE IDOL'.
'who' acts as a link.
(Other definitions for matinee idol that I've seen before include "Actor, popular romantic figure amongst women" , "Handsome actor" .)