Preheat oven to 425°F/220°C. Line a baking sheet/baking tray with parchment/baking paper.
To a mixing bowl sift the flour, baking powder and salt, mix well. Add the butter to the flour and use your finger tips to rub the butter into the flour (see video below for technique) until it forms large crumbles. Tip: Gently shake the bowl back and forth—any larger pieces of butter will rise to the top, making them easier to spot and break down.
In a separate bowl, whisk 1 egg with the cottage cheese.
Make a well in the center of the flour and add the egg/cottage cheese mixture, half of the ¼ cup milk, chives and cheddar. Mix the dough lightly with a fork until it comes together adding a little more milk as you mix (you may not need it all). It should be moist, but not sticky and just holding together.
Turn the dough onto a lightly floured cutting board. Flatten and fold the dough so the top is smooth without cracks. Shape the dough to ¾-inch (2 cm) thick round. Do not work the dough too much and do not use a rolling pin.
Using a non-fluted 2-½ inch (5 cm) cookie cutter dipped in flour. (non-fluted cuts cleaner edges and help them rise) Cut rounds pressing straight down, do not twist. Dip the cutter into flour before each cut. Place the rounds about ½-inch (1 ¼ cm) apart on the baking sheet. Re-shape the rest of the dough and cut the rest.
Whisk the remaining egg with the 1 teaspoon milk and brush the tops of the scones. Bake for 15-20 minutes or until lightly brown.
Remove from the oven, transfer to a wire rack to cool completely.