Remove the cheesecake from the fridge and wrap it securely in plastic wrap. Alternately, place the cheesecake in a cake container and seal it. Return the cheesecake to the refrigerator and store it there until you serve it. Store the cheesecake for up to 5 days in the refrigerator. Remove the cheesecake from the refrigerator about 30 minutes before serving time to allow it to warm slightly. Serve the cheesecake. Wrap up any uneaten portion of the dessert and return it to the refrigerator. Store the cheesecake in the refrigerator for as long as 5 days.