Preheat oven to 350F. Line two baking sheets with parchment paper and set aside.
Place butter and sugar in the bowl of a large stand mixer, fitted with a paddle attachment OR in a large mixing bowl with a wooden spoon. Mix on medium speed or by hand until creamy, about 2 minutes. Add applesauce, egg, and vanilla to bowl and mix until smooth.
Combine oats, flour, baking soda, salt, cinnamon, nutmeg, and cloves in a separate medium bowl. Add to butter mixture and mix until a soft dough forms. Fold in raisins and apple chunks.
Use a medium cookie scoop to scoop dough out into 1-in balls. Place balls 1-2 inches apart on prepared baking sheets and very gently flatten balls slightly.
Bake cookies at 350F 10-12 minutes until cookies are a light golden brown. Remove from oven and allow cookies to cool on baking sheet 10 minutes before transferring to a wire cooling rack to cool completely.
Icing
In a small bowl, whisk powdered sugar, vanilla, cinnamon, and just enough milk to achieve a thick drizzling consistency.
Drizzle glaze over cooled cookies and let stand 5-10 minutes to set before serving. Enjoy!
Notes
Storing InstructionsStore cookies sealed at room temperature up to 4 days.Store unglazed cookies in freezer up to 1 month. Thaw cookies completely and top with glaze as recipe directs.