BEAT cream cheese in medium bowl with electric mixer on low speed until smooth.
SLOWLY beat in milk and flavored instant coffee on low speed until well blended. Add dry pudding mix; beat with wire whisk 2 minutes or until well blended. Let stand 5 minutes.
SPRINKLE 2 Tbsp. of the grated chocolate over pudding mixture; top with whipped topping. Sprinkle with remaining grated chocolate. Refrigerate at least 1 hour or until ready to serve.