Well, first, you should know that blocked tear duct, is a result of an improperly formed tear duct that obstructs the tear drainage system. According to some researches, if the duct cannot drain the tears, they have nowhere to go and may collect in the eye, leading to irritation. There will have some symptoms which include tears pooling in the eyes or draining down the eyelid and cheeks, discharge from the eye. To treat it, you can try breast milk which is often recommended by pediatricians as a treatment for blocked tear ducts. In that way, it can just relieve the symptoms and lead to recovery. So just have a try.