If it's such a big deal that employees are using Dropbox in the office, employ some of those Orwellian tactics bigcorps are so good at: block them. Block them and their entire CDN. Shut off access to Facebook, Google Drive and Box while you're at it. Make them use only corporate e-mail. Is being denied access (at work) to a service they purchased not ramification enough?
Shall we draw and quarter them instead? You're not powerless, you're just myopic.
I'd wager that if a corporation has a problem with employees using Dropbox, they've got problems with a lot of other stuff - so why not stamp it all out at once? Or, work with it! Embrace the growing cloud culture. Buy Dropbox for Teams, or Github Enterprise, or what have you. Clearly, your employees want it.
Or, disband the thought and grow up.
EDIT: Comment below generated while the site was not responding to requests.
> 503 Service Unavailable
It appears the "Shadow IT" has won this round.