Combine caramel syrup and whipped topping in a medium bowl; gently fold 3 times to form swirls.
Spoon ice cream into piecrust. Drizzle 2 tablespoons chocolate syrup over ice cream. Spread whipped topping mixture over chocolate syrup. Cover and freeze 2 hours or until firm.
Cut pie into 8 pieces. Place on individual serving dishes. Top each piece with 1/2 cup banana, 1 teaspoon chocolate syrup, and 1 teaspoon peanuts.