I can see such in reproduction-related cells, but not regular body cells because those are not passed on.
More likely cancer is simply the result of the trade-offs between efficiency versus duration. In a competitive world efficiency guarantees genetic success more than life duration. After all, the alpha male is in almost a winner-take-all role. To be the alpha male you have to have a high metabolism and an efficient metabolism (get big without having to find extra food).
This means that entropy (errors in cell division) builds up faster. There are generally two solutions to entropy: slower metabolism or error correcting mechanisms. Being slower means you'll never be able to be the alpha male, and error-correcting means you are less efficient during your prime because such mechanisms consume resources. (Some bacteria have such.)
Note how female mammals typically have lower metabolism and live longer. This is because they are not in the winner-take-all position of males.