Cancer eye, or squamous cell carcinoma, is found in several species including cats and cattle more commonly on skin which is unpigmented. It can also be found on vulvas and other areas. It, and many cancers, has a genetic component in that certain lines, whether pigmented or not, seem to have a directly heritable predisposition. I can name a couple of lines of Simmentals which have an incredible amount of cancer in the line--mostly SCC but also ovarian carcinoma etc.
On a tangent, the skin cancer most commonly known in humans is melanoma, a different tumour.