Whisk the flour, cocoa powder, cornflour, and salt until combined. Set aside.
In a large mixing bowl, or the bowl of a stand mixer, cream the butter and icing sugar together until light and fluffy (about 2-3 minutes).
Add the dry ingredients to the bowl in batches, mixing on low speed until just incorporated. Stop and scrape down the sides and bottom of the bowl as needed.
Lightly dust your hands with flour, then divide the dough into 15 g portions (about 1 tbsp each). Roll each portion between your palms until smooth, then place on a lined baking sheet, at least 5 cm (2 inches) apart. Stop and re-flour your hands if the dough starts to stick. Use a lightly floured fork to slightly flatten each ball to an even thickness.
Place the trays in the fridge to chill for 30 minutes. Meanwhile, preheat the oven to 180℃ (160℃ fan/350℉).
Bake just until the biscuits look dry and set, about 12–15 minutes. If baking more than one tray at a time, rotate the trays halfway through. Keep any additional biscuits in the fridge until ready to bake.
Allow to cool on the trays for 5-10 minutes before transferring to a wire cooling rack. Be gentle as the biscuits are very delicate while warm.