Is there any quick fix home remedy for watery eyes?

Depends on cause. Dry eye is a common cause of watery eyes. This can be treated with artificial tears given regularly. Eye allergies also can cause watering along with itching. Over the counter allergy medicine and eye drops, such as zaditor, (ketotifen) can help.
Yes. If the watery eyes are due to allergies, sometimes flushing the eyes with water and using a cool compress can help settle things down. Typically allergic conjuntivitis also causes itching of the eyes as well as watering. The symtoms usually affect both eyes as well.