Drowsiness in Oscars broadcast (8)
I believe the answer is:
narcosis
'drowsiness' is the definition.
(I've seen this before)
'in oscars broadcast' is the wordplay.
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'in'+'oscars'='inoscars'
'inoscars' with letters rearranged gives 'NARCOSIS'.
(Other definitions for narcosis that I've seen before include "Drug-induced state" , "State of stupor" , "Drug effect" , "Drug-induced stupor" , "State of sleep produced by drugs" .)