In the following video, Motley Fool health-care analyst David Williamson takes a look at Eli Lilly's (LLY -0.89%) strong 3.6% dividend yield. David tells us that while 3.6% is a slightly higher yield than some of Eli's American peers, there may be several potential looming threats to the company's dividend. David highlights those threats for investors and tells us how concerned we should be.