Combine first 3 ingredients in a medium bowl; make a well in center of mixture, and pour in cream. Stir just until dry ingredients are moistened. Using hands, knead dough lightly 3 or 4 times. Gently knead in chives.
Form dough into a 10-inch log; cut log into 8 slices. Flatten each slice into a 2-inch round. Brush rounds with melted butter; place on an ungreased baking sheet. Bake at 425° for 15 minutes or until golden.