Occurs, as such, after middle of radio broadcast (8)
I believe the answer is:
disperse
'broadcast' is the definition.
('disperse' can be a synonym of 'broadcast')
'occurs as such after middle of radio' is the wordplay.
'occurs' becomes 'is' ('be' can be a synonym of 'occur').
'as such' becomes 'perse' ('per se' can be a synonym of 'as such').
'after' means one lot of letters go next to another.
'middle of' indicates the central letters.
The central letter of 'radio' is 'd'.
'is'+'perse'='isperse'
'isperse' put after 'd' is 'DISPERSE'.
(Other definitions for disperse that I've seen before include "Scatter, dispel" , "Scatter, break up" , "Break up, move away from each other" , "'Break up, spread out (8)'" , "Scatter in all directions" .)