What's the noun for punchcutter? Here's the word you're looking for.
punch
(countable) A device, generally slender and round, used for creating holes in thin material, for driving an object through a hole in a containing object, or to stamp or emboss a mark or design on a surface.
(countable) A mechanism for punching holes in paper or other thin material.
(countable) A hole or opening created with a punch
(piledriving) An extension piece applied to the top of a pile; a dolly.