Support director covering Elvis' All Shook Up for broadcast (9)
I believe the answer is:
televised
'broadcast' is the definition.
(thesaurus)
'support director covering elvis' all shook up' is the wordplay.
'support' becomes 'tee' (tee is a kind of support).
'director' becomes 'd'.
'covering' is an insertion indicator.
'all shook up' indicates anagramming the letters.
'tee'+'d'='teed'
'elvis' with letters rearranged gives 'levis'.
'teed' placed around 'levis' is 'TELEVISED'.
'for' is the link.
(Other definitions for televised that I've seen before include "Shown on the box" , "Broadcast" , "screened" , "Put on" .)