Last broadcast by popular war-time leader (6)
I believe the answer is:
stalin
'leader' is the definition.
(Stalin is an example)
'last broadcast by popular' is the wordplay.
'broadcast' indicates an anagram.
'by' is a charade indicator (letters next to each other).
'popular' becomes 'in'.
'last' is an anagram of 'stal'.
'stal'+'in'='STALIN'
'war-time' is the link.
This may not be correct. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for stalin that I've seen before include "Russian WW2 dictator" , "Dread dictator among Latins" , "Lenin's successor" , "Tyrannical dictator among Latins" , "Former Soviet leader" .)