Grab an empty gift card. It's good because you don't have to worry of you lose it. Or use a business card, but it won't last as long.
My whole punch has a rectangular punch.
Punch two notches into two edges. If yours has a round punch it will work the same way.
Wrap starting with the headphones held perpendicular to the punched notches.
The rectangular notches from a rectangular punch are good for holding cords snugly.
Finish wrapping around the short edge. // Bam! In the fight for no-mess cords you're winning.