It runs around a bowler
Else clues• A cowboy hat has a wide one
• A fez lacks one
• A Stetson has a broad one
• Boater feature
• Boater's edge
• Border
• Bowler's feature
• Brink
• Cap projection
• Cowboy hat feature
• Cup edge
• Cup limit
• Cup lip
• Cup part
• Decaf that debuted in '72
• Derby feature
• Derby part
• Derby projection
• Edge
• Edge of a hat
• Edge, as of a cup
• Edge, as of a hat
• Feature of a fedora
• Feature of some hats
• Fedora feature
• Fill to the ___
• Filling point
• Full mark
• Glass top
• Hat edge
• Hat feature
• Hat or teacup part
• Hat part
• Hat style feature
• It may be turned down on the street
• Lip
• Margin
• Overflow point of a cup
• Overflow site
• Overflow, as with pride
• Overflow, with over
• Panama border
• Panama hat part
• Panama part
• Part of a hat
• Part of some hats
• Poke on a bonnet
• Porkpie feature
• Porkpie part
• Projecting edge
• Sanka competitor
• Sanka rival
• Sombrero feature
• Sombrero part
• Stetson section
• Stop pouring here
• Sunshade, of a sort
• Teacup part
• Top hat feature
• Top of the glass
• Upper edge
• Verge
• Vessel's edge
• Where the cup runneth over
• The top edge of a vessel
• A circular projection that sticks outward from the crown of a hat