It is normal to be concerned if you are diagnosed with eyelid cancer. Fortunately, though, most types of cancer in this area have a very good prognosis. The main reason is that these neoplasms rarely cause metastasis. Another reason is that they can be cured with surgery alone and will not require chemotherapy or radiation in most cases. For example, survival rates with Basal Cell Carcinoma (the most common type) are the highest among cancer victims.
On the other hand, malignant melanoma (MM) has a very poor prognosis. This is probably one of the most aggressive types of cancer. Melanoma of the eyelid is covered in a different section of this website.