Stir in flour and salt. Divide dough into 3 equal parts. Mix nuts and food coloring in one part. Pless nut dough evenly in bottom of pan. Press chocolate dough on top of nut dough.
Press cherry dough on top of chocolate dough.
Cover dough with extended ends of foil. Refrigerate at least 2 hours but no longer than six weeks. Place about 1-inch apart on ungreased cookie sheet. Bake cookies until set, about 10 minutes. Immediately remove from cookie sheet.