Preheat the oven to 350 degrees Fahrenheit and line cookie sheets with nonstick baking mats or lightly spray with nonstick baking spray.
In the bowl of an electric mixer, cream together butter, brown sugar, granulated sugar, eggs and vanilla. Next, add the pumpkin puree and mix.
In a separate bowl, stir together flour, cinnamon, nutmeg, cloves, salt and baking soda. Add flour mixture to the wet mixture and mix until incorporated. Quickly mix in 12 crushed Oreo cookies.
Drop batter by the big spoonful onto cookie sheets at least 2" apart. Bake for approximately 10-14 minutes, or just until set and the centers don't look gooey.
Let cookies cool on the cookie sheet for a few minutes before carefully removing them to a cooling rack to cool completely.
After the cookies are cooled, make the glaze by whisking together powdered sugar, vanilla and milk (just enough to thin it for drizzling, but not too much). You want the glaze to be as thick as possible while still being a consistency to drizzle. Immediately after glazing, sprinkle with crushed Oreo's.