Jun 27, But if you're constantly craving cheese it may also be a sign that you're having cognitive problems with concentration and memory. One study. Jan 13, 21 Common Food Cravings And What You Can Do About Them. Cheese, Essential Fatty Acids deficiency, Omega 3′s (EPA and DHA)–. Cheese is a high in fat with it making up a good third of your average slab of cheddar. Craving cheese may actually signal a fatty acid deficiency (most likely.