"Eligibility depends on the type of cancer and treatment history. If you had leukemia or lymphoma, including Hodgkin’s Disease and other cancers of the blood, you are not eligible to donate. Other types of cancer are acceptable if the cancer has been treated successfully and it has been more than 12 months since treatment was completed and there has been no cancer recurrence in this time. Lower risk in-situ cancers including squamous or basal cell cancers of the skin that have been completely removed do not require a 12 month waiting period.
Precancerous conditions of the uterine cervix do not disqualify you from donation if the abnormality has been treated successfully. You should discuss your particular situation with the health historian at the time of donation."
--American Red Cross redcross.org