Repeatedly it gets claimed that people "voted for an end to immigration". Nobody did - it wasn't on the ballot. There were many other reasons people may have voted to leave the EU. For example remaining in it could make bringing railways back into public ownership, or restrict a government's powers to limit the actions of employers.

An end to free movement for people from other EU countries, and to our own freedom of movement beyond our borders, was clearly what many of the 52% wanted, but there's no reason to assume that so many felt that way that they made up a majority of the overall vote.

A Norway type outcome in which freedom of movement remains, but there are fewer constraints when it comes to the kind of things I mentioned could be possible, and would be quite compatible with the outcome of the referendum.