Duke at home makes noise (3)
I believe the answer is:
din
'noise' is the definition.
(din can mean a loud noise or disturbance)
'duke at home' is the wordplay.
'duke' becomes 'd' (abbreviation).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'd'+'in'='DIN'
'makes' is the link.
(Other definitions for din that I've seen before include "Hubbub" , "Roar of confused noises" , "Cacophony" , "Unwanted noise" , "'Continuous, unpleasant noise (3)'" .)