So I heard broadcast where Ian Smith was premier (8)
I believe the answer is:
rhodesia
'where ian smith was premier' is the definition.
'so i heard broadcast' is the wordplay.
'broadcast' indicates anagramming the letters.
'so'+'i'+'heard'='soiheard'
'soiheard' anagrammed gives 'RHODESIA'.
(Other definitions for rhodesia that I've seen before include "former republic" , "place once overseen by Smith" , "Zimbabwe's old name" , "former state" , "Previous name of Zimbabwe" .)