It's probably ok, and worth a try. You never said what the wattage of the heating element was, but I guess it is FAR below 240v @ 2.5A that the C106M is specced at, that is 600W! Hair straightener clamps likely use something like a 50W or 60W element.
And as I said before if you can fit a fuse in series with the heating element, at the PCB end of the wires, that will protect the PCB if the heaters get some wiring short condition. A 240v 2.5A slow blow fuse should be fine.