Drain mandarin oranges; reserve 8 orange segments, and set aside remaining segments (about 2 cups).
Combine the orange juice and cream cheese in a medium bowl, and beat at medium speed of a mixer until smooth. Add pumpkin, cinnamon, ginger, and cloves; beat well. Gradually add sugar, and beat until well-blended.
Spoon 1/4 cup pumpkin mixture into each of 8 ramekins or custard cups. Crush 1 gingersnap into large pieces with your hand, and sprinkle on top of pumpkin mixture. Top with 1/4 cup orange segments and 1/4 cup pumpkin mixture. Chill for at least 1 hour.
Top each serving with 1 crushed gingersnap, 2 tablespoons of whipped topping, and 1 reserved orange segment.