Itchiness with mild redness along with watering from the eyes is suggestive of an allergic reaction. In some cases, it could be because of dust falling into your eye or a foreign body getting lodged in the eye. In other instances, it could be an allergic response that repeats itself seasonally or may be perenially present called seasonal or perennial allergic conjunctivitis.
Next Steps
Avoid splashing tap water into open eyes repeatedly, as this disrupts the balance of your natural tear dilm and may sometimes aggravate your symptoms. An antiallergic eyedrop like Olopat-KT twice daily for a week along with a lubricant eyedrop like Optive thrice daily for 2 weeks should be helpful. Additionally, avoid vigorously rubbing your eyes and applying a cold wet cloth over closed eyelids may help alleviate your symptoms.
Health Tips
As mentioned, sometimes excessive watering could be a sign of dust or a foreign body being lodged in the eye. This would require an eyewash or foreign body removal which would warrant a visit to your nearest eye specialist. So plan a.visit to your nearest eye doctor whenever earliest possible.