Preheat oven to 400*F.
Mix the dry ingredients. Cut in cold butter until crumbly. Add cream and milk and stir until partially mixed.
Add chocolate chips and cherries. Finish mixing dough, trying to work it as little as possible. Put it on a floured rolling board and pat or roll into a circle. Cut into eight wedges. (I do this because it's easy, but it does make pretty big scones.)
Put the scones on parchment paper on a cookie sheet. Bake for ~15 to 20 minutes. You can glaze the tops with a little cream if desired.
I wasn't too impressed with the flavor, but I think the basic recipe holds promise. The flavor was very buttery but not at all sweet, which would be fine except the chocolate came out tasting rather bitter. I need sweeter chips or a sweeter dough. The cherries didn't blend well–they need to be minced.
I used 4 tablespoons of sugar, did a cream-and-sugar glaze, and cut the cherries in half. I was very happy with the results! The dough came out much wetter than the first time–I suspect I had some variation in measurements somewhere? It's hard to think that 2 tablespoons of sugar made much difference.