Can he claim broadcast's performed by rote? (10)
I believe the answer is:
mechanical
'performed by rote?' is the definition.
'can he claim broadcast's' is the wordplay.
'broadcast's' indicates anagramming the letters (I've seen 'broadcast' mean this (letters scattered or cast around)).
'can'+'he'+'claim'='canheclaim'
'canheclaim' anagrammed gives 'MECHANICAL'.
(Other definitions for mechanical that I've seen before include "Machine-like" , "Lacking thought or spontaneity" , "Bottom perhaps" , "Automatic" , "Robotic" .)