1. Preheat the oven to 375°.
2. Pulse oats in a food processor until finely ground. Add sugar and cherries; process until coarsely ground.
3. Combine peanut butter and butter in a medium bowl. Beat with an electric mixer at low speed until light and fluffy. Add eggs, vanilla, and salt; beat until smooth. Add oat mixture; beat until blended. Stir in flour with a rubber spatula until well-blended; use your hands if necessary.
4. Drop dough by level 1/8-cupfuls 2 inches apart onto ungreased baking sheets. Flatten with a fork, leaving an imprint on top. Bake for 12 minutes or until lightly browned. Remove from pans; cool.
Note: Nutritional analysis includes Sugars 9g.