For the best results, keep your cheese refrigerated. If you’re gifting your cheese hamper, you can always replace the cheeses before gifting it. Depending on the accompaniments, you might also want to refrigerate any chutney that comes with your hamper. If your cheese hamper comes with white wine, prosecco or rose, it is often better to keep that chilled too. However, crackers, red wine and other accompaniments can be left in the hamper.