Make the cheesecake swirl: In a medium bowl, beat together cream cheese, granulated sugar, egg yolk, and vanilla extract until smooth. Set aside.
Make the cookie dough: In a large bowl, cream together butter, granulated sugar, and light brown sugar until light and fluffy.
Beat in the egg, pumpkin puree, and vanilla extract until well combined.
In a separate medium bowl, whisk together flour, baking soda, cinnamon, nutmeg, ginger, cloves, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.
Preheat oven to 350°F (175°C). Line baking sheets with parchment paper.
Scoop rounded tablespoons of cookie dough onto the prepared baking sheets, leaving about 2 inches between cookies.
Dollop about 1 teaspoon of the cheesecake mixture onto the center of each cookie dough ball. Use a toothpick or skewer to swirl the cheesecake into the cookie dough.
Bake for 10-12 minutes, or until the edges are set and lightly golden, but the centers are still slightly soft.
Let the cookies cool on the baking sheets for a few minutes before transferring them to a wire rack to cool completely.
Notes
Store in an airtight container at room temperature for up to 3 days.