The blocked tear duct massage is a masterclass in minimal intervention medicine. It transforms a passive parent into an active therapist, leverages the body’s own hydrodynamic forces, and often renders surgery unnecessary. Yet its power lies entirely in precision. A gentle rub is a placebo; a correctly vectored, confident, and timely jab is a cure. For the neonate with a sticky eye, the difference between a week of parental anxiety and a definitive resolution often rests on the angle of a fingertip and the courage to apply just enough pressure to open a door—the stubborn valve of Hasner—that was meant to open all along.