OK. Here's my guess then: the brim is a round shield (old style) and the top is the rubber from the plumber (without the shaft). Is that correct?
Right Arnaud! 50marks for identifying the mongol shield!
I dont have any of the plumber's rubber plunger...(can somebody try and see if it fits a klicky's head...we might have discovered something by accident here!)
...I sprayed the top of the hat, if that's any clue
Tahra...please allow another few hours...I think youre jumping for attention right now!