Possible Clues:

• Top gear when going into a corner?
• Dull brown, oddly cheesy top? You'd be a fool to wear it
• Ignorant boy's headgear
• What to wear when cornered?
• Classroom idiot's headgear
• Boy short of an idiotic case: on Pike's head it's marked 'Stupid Boy'
• One would be a fool to wear it
• Goes to the head for being so thick!
• A foolish assumption of the old school
• New in: falsely accused, papa must be daft to get fitted up with this