What term describes the overflowing of tears down the cheek?

The term that describes the overflowing of tears down the cheek is epiphora. This condition occurs when there is an imbalance in the production and drainage of tears, leading to excessive tearing. Factors contributing to epiphora can include obstructed tear ducts, excessive tearing caused by irritation or inflammation, or conditions that prevent the eye from blinking appropriately.

In contrast, photophobia refers to sensitivity to light, which does not relate to tear production or spilling. Conjunctivitis is inflammation of the conjunctiva, often leading to redness and discharge, but it does not specifically denote tears overflowing. Amblyopia, commonly known as "lazy eye," involves reduced vision in one eye and is not related to tear production or overflow. Therefore, the most accurate term for the overflowing of tears is indeed epiphora.