In a large bowl combine dry ingredients together (flour - baking soda).
Cut in butter using two knives or a pastry cutter until mixture is about the size of peas.
Stir in buttermilk, cheese and chives, stirring with a fork to form a loose dough.
Turn dough out onto a floured board, kneading dough a few times (about 10) and then pat into a 6-inch x 9-inch rectangle; fold into thirds like a letter and then pat into a 6 x 9 inch rectangle again.
Dip edges of 3-inch biscuit cutter into flour (I used a coffee mug) and cut out 6 biscuits; transferring biscuits to a cookie sheet that has been sprayed with Pam or lined with parchment paper. Form and cut dough for another biscuit or two (I ended up whit 7 biscuits).
Brush tops of biscuits with cream.
Bake for 14-16 minutes or until biscuits are browned.