Line a 8×8 in pan with parchment paper, and light grease. Set it aside.
Add the granulated sugar, corn syrup, pumpkin, and butter to a large pot over medium heat on the stove top. Stir occasionally as the mixture comes to a boil. 2 cups Granulated Sugar, 1/2 cup Pumpkin Puree, 1/2 cup Unsalted Butter, 1/2 cup Light Corn Syrup,
Once boiling, very slowly add the heavy cream a little at a time, a couple TBS at a time, stirring constantly. It will take a few minutes to add, and you need to stir the whole time so the milk doesn't significantly lower the temperature of the mixture. 12 oz Heavy Cream
Once all the cream has been added, put a candy thermometer in the pot (clipped to the side) and continue cooking, stirring constantly until the mixture comes between 245 and 250 Fahrenheit.
Once the right temperature is reached, remove the caramel from the heat and stir in the vanilla, cinnamon, salt, cloves, nutmeg, and ginger. 1 tsp Vanilla Extract, 1/2 tsp Ground Cinnamon , 1/4 tsp Salt, 1/8 tsp Ground Cloves, 1/8 tsp Ground Nutmeg, 1/8 tsp Ground Ginger
Pour the mixture into the prepared pan, and spread out the top as needed.
Let the caramels cool for 30 minutes. Then sprinkle the top with flakey sea salt if desired.
Let the caramels cool until totally set. Lift the caramels out of the pan, with the parchment paper and cut them into bite sized pieces, using a sharp knife.