In December, the Food and Drug Administration approved a new obesity drug, Saxenda, the fourth prescription medicine the agency has given the green light to fight obesity since 2012. But even though two-thirds of adults are overweight or obese, there's a good chance their insurer won't cover Saxenda or other anti-obesity drugs. The health benefits of using obesity drugs to lose weight — improvements in blood sugar and risk factors for heart disease, among other things — may not be immediately apparent. "For things that are preventive in the long term, it makes plan sponsors think about their strategy," says Dr. Steve Miller, the chief medical officer at Express Scripts, which manages the prescription drug benefits for thousands of companies.