Bunch elected in cunning way to expedite part of bill (10)
I believe the answer is:
guillotine
'way to expedite part of bill' is the definition.
(way of speeding up a parliamentary bill's progress)
'bunch elected in cunning' is the wordplay.
'bunch' becomes 'lot' (synonyms).
'elected' becomes 'in'.
'in' indicates putting letters inside.
'cunning' becomes 'guile' (synonyms).
'lot'+'in'='lotin'
'lotin' going within 'guile' is 'GUILLOTINE'.
(Other definitions for guillotine that I've seen before include "Device for parting head from shoulders" , "move to curtail debate" , "limits debate" , "Head-removing device" , "Paper trimmer" .)