And if the result changed to remain. a lot of people would demand a best of three - demanding more votes until the "correct" result is returned is unreasonable.
I think one way to overcome that would be to require a ⅔ majority - a requirement that should have been part of the original vote given its momentous impact - an impact even uninformed people see now as the marketing, the liars and the buses with lies-they-never-said have gone (the smart ones saw this coming the moment the idea was ever uttered).
Not that I suspect this will happen. After all, the UK stood side by side with the US against Russia so it's included in Putin's grand plan to f*ck over the US and its allies and so far it has been remarkably successful. We've become remarkably naïve over the years.