Addled Minister is on for a break (12)
I believe the answer is:
intermission
'a break' is the definition.
(I know that break can be written as intermission)
'addled minister is on' is the wordplay.
'addled' indicates anagramming the letters.
'minister'+'is'='ministeris'
'ministeris' anagrammed gives 'intermissi'.
'intermissi'+'on'='INTERMISSION'
'for' acts as a link.
(Other definitions for intermission that I've seen before include "Entr'acte" , "Break; respite" , "Theatre's half-time" , "Pause, break" , "Interval" .)