Daughter on odd musical instrument (4)
I believe the answer is:
drum
'musical instrument' is the definition.
(drum is a kind of musical instrument)
'daughter on odd' is the wordplay.
'daughter' becomes 'd'.
'on' is a charade indicator (letters next to each other).
'odd' becomes 'rum' (rum can mean strange or dubious).
'd'+'rum'='DRUM'
(Other definitions for drum that I've seen before include "Bongo" , "Cylindrical metal container" , "Hollow cylinder with flat ends" , "house" , "Spool; beaten instrument" .)