Is there a tie between horners syndrome and eyes?

Many: Horner's syndrome, a complex of drooping eyelid (ptosis), constricted pupil (miosis) and reduced sweating of one side of the face (anhidrosis) can be caused by many things, including tumors on top of the lung, or anything that compresses certain nerves in the head and neck. In addition to falling lid, dryness of the eye & inadequate blink can alter vision. Advise you seek care immediately!

Indirect: Horners causes the upper lid to droop and the pupil on that same side to get small. Several forms exist- most are benign but some are not and may be associated with lung or vascular problems. Any new condition suspicious for horners needs a full evaluation.