Preheat oven to 425 F.
Whisk together the flour, salt, baking powder and sugar.
Cut cold butter into the flour until the mixture is unevenly crumbly with some of the butter remaining in larger pieces.
Mix in cheddar and chives until evenly distributed.
Add 3/4 cup of the cream and stir to combine until the dough comes together.
Transfer the dough to a well floured surface.
Pat the dough into a smooth 7" disk with about 3/4" thickness. Use a knife to cut the disk into 8 wedges.
Brush the scones with a bit of cream and move them to a baking sheet lined with parchment paper.
Bake the scones for 22-24 min, until they are golden brown.
Remove from the oven and cool on the pan.
Serve warm or at room temperature!