The UK cannot afford to not have free trade with the EU, and a stipulation of free trade is to allow open immigration and travel. The main reason that many people even voted for leaving was to stop the EU immigration! So, just based on this 1 thing, it doesn't seem like it has a chance of happening.
Additionally, there is the whole thing about sending money to the NHS instead of the EU that turned out to be false.
And, many Leave voters actually didn't even want it to pass, they were just doing it as a protest vote.
So, half the stuff the Leave campaign said has turned out to be a lie and some portion (not really sure how big) of the voters didn't even want it to pass. Expecting the Brexit to happen just seems completely crazy.