Answer: It would affect the lacrimal apparatus, the system in charge of the production of tears and their drainage system.
Explanation:
If a blockage where to happen at the lacrimal punctum, or if it is narrowed, the tears would not be able follow their normal path, which is to move into the lacrimal sac, to be drained into the nasolacrimal duct afterwards, so the tears would overflow from the eye onto the face.
Tears cannot drain normally, causing a watery, irritated or
chronically infected eye. Lacrimal secretion
(tears) drain through the puncta in the corners of your upper and lower eyelids.
The tears then travel through the small canals in the lids (canaliculi) to a lacrimal
sac (where the lids are attached to the side of the nose), then down a duct
(the nasolacrimal duct) before emptying into your nose.
