Possible Clues:

• Axe target?
• Weapon — mine is hollow
• Weapon -- mine's sort of hollow
• Arrid target
• Ban target?
• Looking back, piece of advice sent to address on a hideous place locally
• A slowing down when politician gets in a sort of depression
• It gets deodorized often
• Lady Schick target
• Hollow sculpture, perhaps, encapsulating a reflection of the early afternoon?