Put off till next session in favour of the rascal (8)
I believe the answer is:
prorogue
'put off' is the definition.
(I know that put off can be written as prorogue)
'in favour of the rascal' is the wordplay.
'in favour of' becomes 'pro' (being pro a particular cause).
'the rascal' becomes 'rogue' (both can mean a scoundrel).
'pro'+'rogue'='PROROGUE'
'till next session' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for prorogue that I've seen before include "Stop meeting" , "Discontinue meeting" , "Suspend meeting" , "Suspend, postpone" , "Discontinue (a session of parliament)" .)