While the crust is baking, beat cream cheese and both sugars together on medium speed for about 5 minutes until light and creamy. Add the eggs in one at a time while mixing, only as much as needed to incorporate well.
Add in the pumpkin, sour cream, vanilla, lemon juice, cinnamon, ginger, nutmeg and cloves. Mix until well combined.
Pour the cream cheese mixture into the baked crust.
Place two large pieces of tin foil in an x shape under the springform pan. The pieces must be large enough that there will not be any spaces uncovered when you bring them up around the edges of the springform pan. Bring the edges up so that the springform pan is going to be waterproof.
Place the springform pan into the water bath and bake. Do not open the oven while the cheesecake is baking. Check the cake, while still in the oven, after baking for 1 hour. The edges should be set and the center just slightly jiggly. If not, give it 5-10 additional minutes, but do not overbake.
When finished baking, do not remove the cheesecake from the oven. Turn off the oven and prop the door open. Allow the cheesecake to sit in the open oven for another hour, then remove from the oven. If it is cool enough, you may remove it from the pan before placing it into the fridge to chill for another 2 hours. It's fine to leave it in the pan while it chills.