You might want to at least give things six months to a year to "settle", for appropriate definitions of settling. You may feel silly fleeing the UK because of Brexit only to discover that the country you fled to exits as well, or enough other countries exit that there isn't any escape from the problem. Or, more relevant than perhaps "feeling silly", you might spend an awful lot of money only to end up in the same place anyhow.

The pressures that led to Brexit are not unique to the UK, and have been building for many years. Maybe it'll be unique. Maybe it'll be contained. In fact, maybe it won't even happen. It hasn't happened yet. But with at least similar order-of-magnitude probability, maybe by this time next year one to three other countries will have exited to some extent as well. If you mistake your own political inclinations or beliefs for what is actually likely, no-one will save you from the consequences of your error. It's easy to spin Brexit as a fluke, but it's pretty easy to spin it as a bellweather, too.