I was wondering the same about giving blood and found the following;
�In most cases, the Blood Service accepts people who remain free of cancer five years after the completion of treatment. The five year deferral is to protect the donor's health by ensuring as far as possible that the cancer is gone and will not recur. Five years is the period most often used by cancer doctors to define a presumed cure.
However, people with a history of cancers such as leukaemia, lymphoma and myeloma that involve the blood production system directly, are permanently excluded from donating for the benefit of their own health.�
Here on a government site I also found under "who can dontate";
"People with cancer have been able to donate tissues."
I suspect that different countries have different rules.