Trap nonet? No, no (3)
I believe the answer is:
net
'trap' is the definition.
(net is a type of trap)
'nonet? no no' is the wordplay.
'no' is a deletion indicator.
'nonet' with 'no' taken away is 'NET'.
(Other definitions for net that I've seen before include "Fish trap after deductions?" , "Ultimate" , "Capture" , "Cricket practice area" , "Mesh; after tax" .)