Others work squeezing Edward’s organ part (4,4)
I believe the answer is:
reed stop
'organ part' is the definition.
'others work squeezing edward's' is the wordplay.
'others' becomes 'rest' (I've seen this before).
'work' becomes 'op' (abbreviation for opus).
'squeezing' means one lot of letters goes inside another (squeeze can mean hug or embrace).
'edward' becomes 'ed'.
'rest'+'op'='restop'
'restop' enclosing 'ed' is 'REED-STOP'.
(Other definitions for reed stop that I've seen before include "Set of organ pipes; do preset (anag.)" , "part of organ" .)