I don't consider it likely but I also don't consider the current political climate "rational", sadly.
The Eurozone is really what should be dismantled, because it's flawed by design. I'd hate to see the union itself which is originally a peace and trade project disintegrate because of a flawed currency and disagreements on people movement.
What matters though is if another country thinks they can leave the EU with the outlook of a "better" deal outside the EU. The EU would fall apart if countries would believe that, but what I tried to say is that the EU doesn't really have to fear that, because no other country is even remotely in the same position as the UK, so the chances of a "better" deal outside the EU are almost non-existent, because the fact alone that they don't have their own currency would makes significantly more difficult.
Therefore the EU can actually work out a good deal for the UK and the EU without jeopardizing the EU membership of others. Makes sense?
Italy won't vote out because of a "better deal outside" (nor do I believe the UK did!). They'll vote out if populists can convince them there will be fewer immigrants without disastrous economic consequences.
The only option is an ad-hoc constitutional law that allows for a specific (non-binding) referendum and requires a large (2/3) majority on the parliament. Interestingly, this was last done in '89, to vote to transition from the (economical) European Community to the (political) European Union.
What if the EU realises that even if both walk away as winners no one will easily follow the UK, because frankly no other EU member state is in a similar position to the UK?
There's only 9 member states who didn't adopt the Euro, so basically everyone else already disqualified to leave the EU. When you look at the remaining 9 (Bulgaria, Croatia, Czech Republic, Denmark, Hungary, Poland, Romania, Sweden, and the United Kingdom) there is either no appetite for an exit (Sweden, Denmark) or the country has simply no leverage at all.
So would the EU risk to fall apart when the UK gets a good deal? Nope.
Remember you heard it first here.