In a large mixing bowl whisk together pudding and cold milk. Whisk for 2 minutes, until soft-set.
Whisk in the ginger, cinnamon, nutmeg, salt and cloves. Next, mix in the molasses.
Fold in the whipped topping using a rubber spatula. Spoon the mixture into the cooled crust and lightly cover with plastic wrap.
Place into the fridge to chill for 4-6 hours, or overnight.
To serve, you can top with additional whipped topping and crushed gingersnap pieces.