Which makes applying that much more unlikely.
Without knowing much about the EU system, I would guess that the EU needs the UK more than the UK needs the EU. Though that's only a hunch based on very little information.
If Texas left the US, it won't in any sort of position to make demands against a far more powerful neighbor. England only had leverage when it
threatened to leave, since the EU would prefer them to stay (and the exceptions/exemptions granted them demonstrate this). However the dummies actually played their only card worth much (leading PM candidate May has said "Brexit means brexit)"), which significantly weakened their hand moving forward.
It was totally a comedy of errors, Cameron called the vote to strengthen his position because he didn't think it would pass, Johnson/Farage campaigned to leave only for personal gain also thinking it wouldn't pass, but once leave won Cameron passes on the brexit trigger to spite the next PM which was going to be Johnson. Now, had Johnson become PM he was likely to weasel out of brexit, but his "friend" Gove stabs him in the back but fails to win the PM position himself. In that disarray, May who backed Cameron for remain will likely win, but she just happens to be the stubborn "principled" type who now wants to respect the will of the voters. Only through this coincidental configuration of players was brexit ever going to happen, and now it looks more likely than not unless more hilarious hijinx ensue.
Also, the only particularly strong industry in the UK is finance, and the rest of the EU are smacking their lips to each take a bite of that, and there's nothing the english can do about it once they lose their seat at the table.
What do you think is going to be with property markets in the UK and the EU? I believe in the slight fall of prices in England and Spain. Spain will suffer a wane of demand for real estate from British buyers who were extremely active in this market. And in London the weak pound will play its part to attract new foreign investors. A good piece on the topic
https://tranio.com/united-kingdom/news/real-estate-markets-could-wobble-as-uk-votes-to-leave-the-eu_5152/, pay attention to the part "the real estate market in Britain may benefit from heightened foreign interest"
Most british GDP is now in services, which tend to be less price sensitive than material/commodity type goods. People move to where the jobs are, and the UK is looks less attractive for investment outside the single market than in. This tends to have a spiraling effect, because once people start heading eastward for cheap talent they're not going back.