There's a petition:
https://you.38degrees.org.uk/petitions/david-cameron-to-resign-for-deception-and-conflict-of-interest?source=facebook-share-button&time=1460104920

I don't think he will, obviously.
But should he?
The only reason I can think he would is that people genuinely thought the system was fair, the rich stay rich through hard work alone and that there really was no money for the disabled/refugees/junior doctors/unemployed/steel workers/public services because the rich couldn't possibly pay more in to the system

That and he fucked a pig