For Scones: Combine flour, sugar, baking powder, salt, cinnamon, nutmeg, cloves, and ginger in a large bowl.
In a separate bowl, whisk together pumpkin, half and half and egg.
Cut butter into cubes then add it to the dry ingredients. Use a pastry knife or a fork to combine butter with dry ingredients. Continue mixing until no chunks of butter are visible.
You can also use a food processor: Pulse butter into dry ingredients until it is the texture of cornmeal or coarse sand.
Fold wet ingredients into dry ingredients, then form the dough into a ball. Pat out dough onto a lightly floured surface and form it into a 1-inch thick rectangle that is about 9 inches long and 3 inches wide.
Use a large knife or a pizza wheel to slice the dough twice through the width, making three equal portions. Cut those three slices diagonally so that you have 6 triangular slices of dough.
Bake for 14 to 16 minutes on a baking sheet that has been lightly oiled or lined with parchment paper. Scones should begin to turn light brown.
For Plain Glaze: Combine ingredients in a medium bowl. Using an electric mixer on medium speed mix until smooth. Brush a coating of the glaze over the top of each cooled scone. Allow plain glaze to set up.
For Spiced Icing: Combine ingredients in a clean bowl. Using an electric mixer on medium speed. mix until smooth. Drizzle this thicker icing over each scone and allow the icing to dry before serving (at least 1 hour).
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