What fallout? The stumble in the FTSE has largely been erased, and other than their current decline in the GBP compared to other currencies, things aren't going to hell in a handbasket as the "Remain" camp inferred would happen.
How it can go to hell when the route is unknown so far? We don't know if the City retains a financial passport, whether we're in some type of single market or not, whether everyone who's currently here will move wholesale to Ireland or elsewhere. The strife hasn't even started to begin. It's going to take many years for the fallout to be absorbed and understood.
You know all of those things, unless (apparently) if the media tell you you do not. The British parliament hasn't even begun the negotiations yet, so until they do, assume you're still in the EU. Because you are.
If you're thinking "duh, the referendum", I'm thinking "duh, the politicians". When the shiny haired people who live inside that black rectangular box in your front room tell you stuff, take this advice: don't listen to them.