What are the chances of living regular lifespan with cancer?

Lifespan: Is hard to define. If your cancer is cured, then we could make an argument you could live a regular lifespan, assuming you don't have history of comorbid conditions that can shorten your lifespan (heart attack, liver-kidney failure, alcoholism, drug use etc).

Depends on the type: Basal cell and squamous cell cancers of the skin may have little effect on life span, whereas in the case of lung cancer majority of the patients are dead within a year and a whole range of outcomes inbetween with other cancers.