I'm an EU citizen, I've studied full-time for 5 years and worked full-time for the past two years.
Here's my timeline:
Application sent: 19/07/2016
Documents received: 20/07/2016
Payment taken: 20/07/2016
Confirmation email: 18/08/2016
DCPR dated: waiting
DCPR received: waiting
I was a little taken aback by how they took the payment right the next day but only acknowledged my application after a full month - so I e-mailed the Croydon office to ask what the story is... Now I see that it's kind of a standard these days!

Anyway, they wrote me that it could take up to 6 months to process my lovely application... I hope to God that it's shorter than that, as my case is relatively straightforward and I have bought tickets to visit my family abroad over Christmas! If they don't return my passport before then, I won't be able to go and I would be absolutely devastated! (Not to mention I'm flying with Ryanair and the ticket isn't refundable

But, well, I guess I should've checked better before applying and take into account the Brexit referendum.
Wiser by one experience...
Regards and good luck to everyone else applying!