One is the 'business' one. Mostly locked down, with checks in place.
The other is on a different network, isolated from all business functions, and they can do what they want but must never use it for work data, just like their phones (that everyone knows they use for social media etc. in the day).
Sure, you still have to deal with copying from one to the other (but there are solutions for that if critical, and much easier to secure).
It sounds crazy, but air-gaps are largely proven and it also means that employees feel less oppressed.
Now I realise, even ignoring the cost, businesses won't want this, as perish the thought their employees may do anything other than work. But I suspect it would actually stop more attacks and issues than otherwise and maybe... just maybe.. employees feel as if they're actually human.