The skin area under the eyes is delicate and usually reacts to cosmetic products in a severe way. Some users complain that eye cream causes burns but this is expected. However, if an eye cream burns or stings the skin, you should stop applying it. Alternatively, you should shop for an eye cream with the right blend of ingredients. Some eye creams have very potent ingredients that often cause a burning sensation under the eye. So, check the ingredients before you buy a specific eye cream to avoid burns.