Shed, important office by the sound of it? (6)
I believe the answer is:
thrown
'shed' is the definition.
'important office by the sound of it?' is the wordplay.
'important office' becomes 'throne'.
'by the sound of it?' shows a homophone (sound like).
'throne' is a homophone of 'THROWN'.
(Other definitions for thrown that I've seen before include "put out" , "Disconcerted, confused" , "Defeated" , "Parties are" , "Confused - cast" .)