What visibility does connecting my Dropboxes give my admin over my accounts?
For Dropbox for Business users, you can have both a personal Dropbox and a work Dropbox on any computer or mobile device, as well as on the web.
Connecting your Dropboxes does not give your admin visibility or control over personal data in your personal Dropbox, other than whatever control or visibility your admin may already have over company-managed devices. As always, it's a good idea for you to check with your admin about policies and procedures when it comes to putting personal data on company-managed devices.
Admins for Dropbox for Business teams can view any groups you are a part of, but again, they do not have visibility or control over personal data in your personal Dropbox, other than whatever control or visibility they may already have over company-managed devices.
Keep in mind that your admin can restrict you from linking both Dropboxes to a single computer at the same time. However, you’ll still be able to access both your personal Dropbox and work Dropbox through the website and your mobile devices.