No, you just worry too much about the lunar eclipses. Many people said it is not safe to watch the lunar eclipese, especially with naked eyes. So we can find people wearing dark sunglasses during the lunar eclipses in night. Experts say it is not necessay to wear sunglasses or any special designed eyeglasses to protect eyes during lunar eclipses. It is totally safe to watch the lunar eclipses with naked eyes. But as to solar eclipses in day time, you can't do this. We know that the strong sunrays and UV light could damage our eyes easily. It is a natural wonder that many people expect to experience, but a proper protection is required. You can read the piece reported by NASA, as the following linkage. It explained clearly why and how the solar eclipses could impact eyes.
http://eclipse.gsfc.nasa.gov/SEhelp/safety2.html