Cook the butter in a saucepan over medium heat until it foams and starts to have golden brown bits at the bottom. Immediately dump into a large mixing bowl. Let cool till it starts to solidify.
Line a baking pan with silicone liner or spray with cooking spray. Preheat your oven to 350 degrees.
Whisk the cooled butter until smooth. Add the sugars and whisk until creamy.
Add pumpkin puree, yolk, and vanilla. Whisk until smooth.
In a small bowl, whisk together the flour, cream of tartar, baking soda, salt, and pumpkin pie spice. Add to the wet ingredients with the cinnamon chips. Stir until there are no streaks of flour.
In a small shallow bowl, stir together the sugar and pumpkin pie spice for the topping.
Scoop about 1 1/2 tablespoons of dough into the sugar mixture. Shake the bowl until the dough is covered, then roll into a ball.
Place cookie dough balls 2-3 inches apart on prepared pans. Bake at 350° for about 9 minutes or until the middles are set.
If desired, press a few cinnamon chips on top of each hot cookie.
Let cool on the pan for 3-5 minutes, then remove to wire cooling rack to cool completely.