Possible Clues:

• Apply cold cream
• Scrub inclination to enter old qualification
• Rid of something unpleasant or defiling
• Eels can wriggle clear of muck
• Student in weird séance needs to wash!
• Is inclined to enter the Church - so must purify
• What a washer might perhaps do
• To remove dirt from eels can get messy
• Free from cant on Sabbath in church
• Purge meagre south-east support for Conservatives