01 - Preheat oven to 400°F and line a baking sheet with parchment paper.
02 - In a large bowl, whisk together flour, sugar, baking powder, baking soda, and salt.
03 - Add cold, cubed butter to dry ingredients and cut in using a pastry cutter or fingertips until mixture resembles coarse crumbs.
04 - In a separate bowl, whisk cream, egg, and vanilla extract until combined.
05 - Pour wet mixture into dry ingredients and stir until just combined. Gently fold in chocolate chips without overmixing.
06 - Turn dough onto lightly floured surface and pat into a 1-inch-thick disk.
07 - Cut disk into 8 wedges and place them spaced apart on the prepared baking sheet.
08 - Brush tops of wedges with additional cream to aid browning.
09 - Bake for 16 to 18 minutes until golden brown on top, then transfer to a wire rack to cool.
10 - Whisk together powdered sugar, milk, and vanilla extract until smooth, then drizzle over cooled scones.