Hard to believe that a Brexit result, at least in the immediate, would cause more chaos among Labour than the Tories... Oh well, hopefully Labour sorts out their issues quickly and leaves time for Tories to jump at each other's throats in the next few months.
You shouldn't be too hopeful. If there is one thing political history shows us, it's that the left is far much more prone to fight among themselves than the center-right is.
Not in this country - the Tories have couped (or attempted to) far more leaders than Labour. With Labour it rarely goes beyond the handful of whiney backbenchers.
Oh right, I must have dreamed that whole thing about the Gaitskell-wing fighting the Bevan-wing for more than a decade, or the gang of four breaking away and starting their whole new party, and so on... Yeah Labour has basically never fought internally for long periods of time causing them to loose out on power for several successiv terms.
With the exception of the 90's and the Conservative divide over Europe, Labour has been far more divided and fixated on fighting among themselves than the Tories. Sure the Tories might have had more coups, but after they're done with them they quite quickly unite again. In Labour on the other hand they seen to hold their grudges for decades.
Similarly I expect the Tories to fight for a bit up until Boris is elected, after which he gives Theresa May and a few other remainers senior positions in the cabinet and the party quickly unite and move on with politics as usual, whereas Labour might be headed for a long civil war between their Corbynite left-wing grassroots and their Blairite MP:s.