That's exactly why putting up this vote to remain or leave was a very poor decision in the first place. The drastic change of leaving the EU, decided by half the votes, many of which were very ill informed about what that actually means, is a giant political mess. I don't think I have ever seen such a unfortunate outcome from a political decision in my lifetime.
Going forward, the UK should look at the referendum as a very weak signal by the public. There will be no "revolution" and definitely not a violent one if the government looks at the effort and outcome of leaving the EU but ultimately decides to remain.