Wrt the latest voting demographic thing, I agree with howabout - it's not about education level, it's the have/have nots.
The clusters of Remain were mostly the haves - earning a good wage, comfortably off, who by extension are more likely to have a degree - unaffected by 'the EU' other than for good things (work, travel etc).
The Leave, by contrast, were more often the have nots, who by extension are less likely to have a degree.
It's not 'have degree, therefore clever enough to vote remain'; it's 'I'm doing ok in life, will stick with status quo'.
Also - the younger demographic are more likely to still be reliant on parents more - be they at university or just starting out in the world of work.
Not as cynical or jaded as someone over 40.