Once you've purchased or made the cheese, wrap it tightly in plastic wrap or wax paper to prevent moisture loss and exposure to air. Then, place it in an airtight container or resealable plastic bag before storing it in the refrigerator. Consume within a week of purchase or preparation. If you notice any changes in texture, odor or flavor, it's a sign that the cheese is starting to age or spoil. Freezing can cause the cheese to become crumbly and lose its characteristic stretchiness and therefore is not recommended.