There are two reasons why ANers may experience dry eyes. One is due to damage to the facial nerve, which controls lacrimation (i.e. tear production). If the facial nerve is damaged, tear production may be reduced and/or stopped. The second reason is because of damage to the trigeminal nerve. This causes reduced corneal sensation, which in turn does not send the correct signals for adequate tear production. So even though tear production is possible, the eye is not lubricated properly. I have had both problems, the second before surgery, and I think that after surgery actually my eye on the AN side does not produce tears.
No matter what the reason is, it is important to make sure the eye is kept moist. My optometrist explained that in case of reduced sensation, the eye might become too dry before you feel it. So it is important to lubricate regularly. The same of course goes when tear production is impossible altogether. There are many types of eye drops/ointments that you can use, and you have to figure out what works best for you. Usually optometrists have many samples, and they are happy to provide you with them so that you can try them out. You may also want to consider the preservative free type, like the Celluvisc vials. More expensive, but good for sensitive eyes, especially when you need to use the drops regularly.
This is an annoying problem, but at least can be dealt with using the proper care regime.
Marianna