Lewd lecture initially broadcast live (5)
I believe the answer is:
dwell
'live' is the definition.
(synonyms)
'lewd lecture initially broadcast' is the wordplay.
'initially' says to take the initial letters.
'broadcast' is an anagram indicator.
The first letter of 'lecture' is 'l'.
'lewd'+'l'='lewdl'
'lewdl' is an anagram of 'DWELL'.
(Other definitions for dwell that I've seen before include "Live (in a place)" , "Abide, reside" , "Harp" , "Exist (within)" , "Focus attention (on)" .)