If only one eye is affected, it most likely is related to a blocked lacrimal duct and that would normally require surgery. However, it is critically important to consult with an Ophthalmologist/eye surgeon about this matter before using any remedy or deciding on any treatment.
Have you seen an ophthamologist to be sure your tear duct isn't blocked?
Does it occur only during eating? (Bogorad's Syndrome) Have you ever had surgery behind your ear?