PREHEAT oven to 350° F.
COMBINE flour, cream of tartar, baking soda and salt in medium bowl. Beat butter, 1 1/2 cups sugar and vanilla extract in large mixer bowl until creamy. Add eggs, one at a time, beating well after each addition. Gradually beat in flour mixture. Stir in 1 1/3 cups morsels and cherries.
COMBINE remaining sugar and cinnamon in small bowl. Roll dough into 1 1/4-inch balls and roll in cinnamon-sugar mixture until coated. Place on ungreased baking sheets. Top balls with remaining 2/3 cup morsels.
BAKE for 12 to 14 minutes or just until centers are set. Cool on baking sheets for 2 minutes; remove to wire racks to cool completely.