There was not a clear understanding what the vote was about. There contradictory promises being made about what a Brexit would mean. It would mean saving tons of money that wasn't there, staying in the common market for goods and services, yet somehow leaving the common market for labour, except maybe not when it benefitted Brits. The whole campaign was a bunch of lies, and those lies are what informed the people's vote.

There was absolutely nothing clear about what a Leave vote would actually mean. It makes every sense in the world to hold a new, more honest vote once that has become clear. It's a betrayal of democracy to plunge the country into such an ill-advised and irreversible direction based on a single, poorly defined and poorly informed vote.