Make the crust: Combine the crushed cookies, melted butter, and granulated sugar. Press firmly into the bottom of a 9 x 13-inch baking dish. Refrigerate while preparing the filling.
Prepare the pumpkin layer: Beat the softened cream cheese until smooth. Add pumpkin puree, powdered sugar, vanilla, cinnamon, ginger, nutmeg, and cloves. Mix until creamy and evenly combined.
Fold in the whipped cream: Gently fold 1 cup of whipped topping or freshly whipped cream into the pumpkin mixture until light and smooth.
Layer the filling: Spread the pumpkin mixture evenly over the chilled crust.
Make the topping: Beat the cold heavy cream, powdered sugar, vanilla, and cinnamon until soft to medium peaks form.
Finish the cake: Spread the whipped cream evenly over the pumpkin layer. Sprinkle with cinnamon or cookie crumbs if desired.
Chill: Cover and refrigerate for at least 4 hours, preferably overnight, until the layers are firm.
Serve: Cut into squares with a sharp knife and serve cold