Definitely not cancelling women’s public talk (5)
I believe the answer is:
noise
'public talk' is the definition.
(I've seen this before)
'definitely not cancelling women's' is the wordplay.
'definitely not' becomes 'nowise' ('nowise' means 'in no way').
'cancelling' indicates named letters should be taken away.
'women' becomes 'w'.
'nowise' with 'w' taken out is 'NOISE'.
(Other definitions for noise that I've seen before include "Unwanted sound" , "Rumour" , "Unstructured sound" , "Loud sound; bruit" , "Sound of any kind" .)