Preheat your oven to 350°F (175°C) and line your baking sheets with parchment paper.

In a large mixing bowl, combine softened butter and brown sugar. Cream together until light and fluffy.

Add the large egg and vanilla extract to the bowl. Mix until well combined.

In a separate bowl, whisk together the all-purpose flour, old-fashioned rolled oats, ground cinnamon, baking soda, ground cloves, and salt.

Gradually add the dry mixture to the wet ingredients, mixing on low speed until just combined.

Toss the finely chopped apple pieces with lemon juice, then gently fold them into the cookie dough.

Using a tablespoon, scoop out dollops of cookie dough and place them on the prepared baking sheets.

Bake the cookies in the preheated oven for 12-14 minutes, or until the edges are lightly golden brown.

In a small bowl, whisk together powdered sugar, milk, and maple syrup until smooth and creamy.

Once the cookies have cooled completely, drizzle the maple glaze over the top.