Possible Clues:

• Like some revealing slips?
• Follower of Sigmund's methods
• If unread (anag) — it's related to Sigmund!
• Like some slips
• Type of slip or analysis
• Sort of slip
• and 27 Down: Clement and La Frenais's impudence producing inadvertent bloomer
• Like subconscious slip in dispute about Republican fellow
• Posh dons, boy and man, following the founder of psychoanalysis
• Like some psychology I read -- fun surprisingly