MstaKing10's post is excellent. I can add that ocular oncologists are few in number and due to low volume of cases the really well known ones attract people from all over the world. There is no way you could survive financially just seeing patients with eye malignancies in private practice. Because its so rare, patients are best served at large academic centers. The best example by far is the Shields practice at Wills. They are seriously a household name (or as close as there will be) in the field of ocular oncology. Other programs that come to mind, Jakobeic at MassEye (pathology), Mieler at UIC, Dr. Eagle (pathology). Prob most of the top programs have access to a large database of cases. I'm certainly no expert.
In terms of fellowships, that is easier. There aren't many ocular oncology fellowships but I think if you want one you can obtain it. Realize that many non-subspecialty trained docs can treat many eye malignancies. Peds ophtho or retina that treats peds are usually competent at assessing and managing retinoblastoma. Intraocular melanoma is treated mostly with plaque therapy these days and many non-subspecialty trained retina docs are comfortable treating small to medium size tumors (at least initially), or for large aggressive tumors referring to oculplastics. This goes for primary introcular lymphoma and other malignant B-cell tumors. Each needs co-management with oncology and pathology and this is useful for ensuring proper management for the patient. Many other malignant conditions (lacrimal tumors, metastatic disease) will be referred out after a diagnosis is made. I think the real challenge after diagnosis is who to consult, how to manage pretty toxic medications, and when to refer when treatment is either not-effective or the patient's condition worsens.