You can hide non-team connections that you are not longer actively working with, or added to GetBusy by mistake.
Find and click on the specific connection in your connections list that you wish to hide.
From the "..." menu in the top right, choose the 'Hide' option.
Any hidden connections are collected together and can be accessed via the "..." option at the bottom of your connections list.
[This "..." option will only appear at the bottom of your connections list if you've hidden at least one connection.]
You can unhide connections by opening them from the hidden view and choosing 'Unhide' from the "..." menu.
Hiding a connection does not delete your previous activity with them in case you ever need to refer back, and you'll still be notified of any new activity.