Preheat oven to 400°.

Line a rimmed baking sheet with parchment paper. Set aside.

In a large bowl and using a pastry blender, cut butter into flour until mixture resembles coarse crumbs. Add cheese and rosemary, stirring to blend. Add ¾ cup plus 2 tablespoons cream, stirring until mixture comes together. Continue to bring mixture together, working gently with hands, until a dough forms. (If dough seems dry, add more cream, 1 tablespoon at a time, until dough is uniformly moist.)

Turn dough out onto a lightly floured surface, and knead gently 3 to 4 times. Using a rolling pin, roll dough to a ½-inch thickness. Using a 2-inch square cutter, cut 13 squares from dough, rerolling scraps as necessary. Place scones 2 inches apart on prepared baking sheet. Brush tops of scones with remaining 2 tablespoons cream.

Bake until edges of scones are golden brown and a wooden pick inserted in the centers comes out clean, approximately 11 minutes.