
Just found this so copy and pasted:
Treatment
Treatment of blocked tear ducts in dogs depends on the underlying cause of the condition. When infection is responsible, treatment with antibiotics and eye rinses is usually sufficient to clear the blockage and prevent complications. If blocked ducts are caused by allergic irritation and inflammation, exposure to the allergen must be avoided, and medication might be prescribed to reduce the body's reaction to the offending substance. Proper hygiene and grooming are essential to treat existing blockages and prevent the development of new ones. Irrigation of the tear ducts can be performed by your veterinarian. In severe cases, surgery to open or widen the ducts might be necessary.
Hope ur lil one gets better. All the Best :-)