If you are using large enough amounts of aspirin to affect a cancer, it will do more than just damage the liver.
The only part of aspirin that could be effective on cancer is the Acetate, which can be obtained in a much more effective and safe manner by drinking raw, unfiltered Bragg Apple Cider Vinegar. Usually best to add raw honey, and distilled water for palatability and control of pathogens.
For the record, I do not buy the aspirin-anticancer thing. There are many approaches to helping stregthen the body’s immune system to deal with wayward cells that might become cancerous. I also do not buy into the supposed benefits of vinegar. Acetates, acetic acid is not an anticancer thing that anyone should bet their life on.