Any time you damage any part of your body, that tissue has to repair itself. There is always a chance (albeit small) of things not repairing themselves correctly and the DNA getting corrupted. Every time the same tissue has to repair itself, the odds of DNA corruption occurring increase. This is why cancer tends to manifest in areas of the body which are chronically damaged and repaired (such as an alcoholic's liver, or the esophagus of someone who has chronic heartburn, or the lungs of someone who smokes).

As such, it stands to reason that any type of burn (causing tissue damage) could ultimately lead to cancer.

Or at least that's my current understanding.