Dictator's committee dug deep? (5)
I believe the answer is:
bored
'dug deep?' is the definition.
(bore can mean to drill down)
'dictator's committee' is the wordplay.
'dictator's' shows a homophone (sound like) (as somebody dictating would pronounce the word).
'committee' becomes 'board' (board is a kind of committee).
'board' is a homophone of 'BORED'.
(Other definitions for bored that I've seen before include "Brassed off" , "Drilled; fed up" , "Feeling weary and uninterested" , "Fed up - tired of the world" , "Lacking stimulation" .)