Preheat oven to 350º F and grease a 12 inch cast iron skillet or 9 x 13 inch pan
In a large mixing bowl or stand mixer, combine the 1 cup butter, 1/2 cup light brown sugar, 1/2 cup sugar, 2 egg yolks, 1 teaspoon vanilla, and 1/2 cup pumpkin puree. Whisk together until well combined.
Add in 2 cups all purpose flour, 1 teaspoon baking soda, 2 teaspoons ground cinnamon, 1/2 teaspoon ginger, 1/4 teaspoon cloves, 1 teaspoon nutmeg, and 1/2 teaspoon salt. Use a spatula or electric mixer to combine until a soft dough is formed and all ingredients are incorporated.
Press half of the pumpkin cookie dough evenly into the bottom of the prepared skillet.
Make the cream cheese layer by combining 1/3 cup sugar, 8 ounces cream cheese , 3 tablespoons all purpose flour, 1 egg, and 1 teaspoon vanilla in a mixing bowl until smooth and combined. This can be done with an electric mixer or by hand with a spatula.
Spread the cream cheese layer evenly over the pumpkin cookie layer pushing to 1/2 inch from the side edges of the bottom layer.
Spread the remaining pumpkin cookie dough over the cheesecake layer by scooping small spoonfuls out then spreading carefully with a spatula getting as close to the edges as possible. It's okay if some of the cheesecake is peaking through.
Bake in a 350º F oven for 20-25 minutes, until the center is 200º F on an instant thermometer or until a toothpick comes out clean.
Notes
Nutrition facts are just an estimate of the ingredients listed
If you don't have all the spices substitute for 1 tablespoon of pumpin pie spice
Don't have a cast iron skillet, bake in a 9 x 13 inch baking dish for 18-20 minutes.