In a large bowl, beat the butter, granulated sugar, and brown sugar until light and fluffy.
Mix in the pumpkin puree, egg, and vanilla extract until well combined.
In a separate bowl, whisk together the flour, baking powder, salt, cinnamon, nutmeg, cloves, and allspice.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Cover the dough and chill for at least 1 hour.
Preheat oven to 350°F (175°C). Line baking sheets with parchment paper.
In a small bowl, mix 1/2 cup granulated sugar and 1 tablespoon cinnamon for coating.
Scoop dough and roll into balls. Coat each in the cinnamon sugar mixture.
Place cookies on baking sheet, spacing them about 2 inches apart.
Bake for 10–12 minutes or until the edges are set and the centers are soft.
Cool on the baking sheet for a few minutes before transferring to a wire rack to cool completely.