In a small saucepan, melt the stick of butter over low heat, stirring frequently. Continue cooking until the butter gets frothy and begins to lightly brown and smell nutty. Be careful not to overcook.
Grease the bottom of a 9-inch pie pan with 1 to 2 tablespoons of the browned butter, reserve the remaining. Place the pie crust in the pan and poke several holes in the crust with a fork. Pour dry beans along the bottom of the crust to act as a weight.
Bake at 375 degrees F. for about 10 to 12 minutes. Remove the beans and continue to cook for another 8 to10 minutes, or until the crust begins to set up.
Meanwhile, add the potatoes to a pot and cover with water. Bring to a boil over high heat. Cook for about 10 minutes, or until fork tender. Drain the water and mash until smooth.
Mix in the remaining browned butter, brown sugar, dark brown sugar, white sugar, allspice, ginger, nutmeg and cloves. Whisk in the milk, vanilla, salt and eggs. Slowly mix in the flour until it reaches a thick pancake batter consistency.
Pour the contents into the baked pie shell. Bake in a preheated oven to 350 degrees F. for about 25 to 30 minutes, or until the pie has set in the middle. Remove from the oven and let cool before serving.
Meanwhile, make the Holiday Whipped Cream. Whip the heavy cream until thick and smooth. Mix in the remaining ingredients. Chill, or serve immediately with pie.