Earlier quoted context omitted.
Unfortunately the hunch you have just spendt 30 seconds thinking about is sadly incorrect. The increase in life expectancy doesn't account for the increased incidence of cancers. There are other factors at play, which need to be investigated (some that we know: obesity, pollution, cigarettes).
I would add sleep deprivation to your list. We live in an increasingly sleepless society and lack of sleep is effectively a carcinogen.
The present meta-analysis suggested that neither short nor long sleep duration was significantly associated with risk of cancer, although long sleep duration increased risk of with colorectal cancer.