In a large bowl, combine the biscuit mix, cheese, minced chives and pepper flakes. Stir in cream just until moistened.
Turn onto a lightly floured surface; knead 8-10 times. Pat to 1/2-in. thickness. Cut with a floured 3-in. bell-shaped cookie cutter. using a 1/2-in. round cookie cutter, cut a hole near top of each biscuit.
Place 2 in. apart on ungreased baking sheets. Bake at 450° for 8-10 minutes or until golden brown. Remove to wire racks. Thread one whole chive through each biscuit hole; tie a knot. Serve warm.