Repetition of poetic device everyone rejected (9)
I believe the answer is:
iteration
'repetition' is the definition.
(I know that iteration is a type of repetition)
'poetic device everyone rejected' is the wordplay.
'poetic device' becomes 'alliteration' (alliteration is a poetic device).
'everyone' becomes 'all' (all people).
'rejected' is a deletion indicator.
'alliteration' with 'all' removed is 'ITERATION'.
'of' acts as a link.
(Other definitions for iteration that I've seen before include "Repetition" , "Repeated performing" , "Repeating" , "Repeats" , "Reprise" .)