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I think that is extremely unlikely.

Another referendum anytime soon would be a political nightmare for both Labour and the Tories, it's such a contentious issue that they're both better off avoiding it. The only parties seriously advocating for rejoining are either full of nutters (Greens, unfortunately) or increasingly losing touch with reality to the point of irrelevance (Lib Dems).

Things may change a lot over the next few years, but I suspect people will become increasingly apathetic towards the issue as time passes and people realise Brexit isn't exactly the apocalypse that was described by most of the media here.

I would bet good money that before 2016, ~90% of people in the UK—remainers and leavers both—couldn't have named a single MEP other than Farage. I suspect the vast majority will revert to their pre-referendum state of political indifference. Rejoining would be immensely complicated, people will just not have the appetite for it.