[Steven Zahm]

@ Christine

Sorry, there not a simple way. Each user is given the ability thru the Screen Options tab in the upper right to enable/disable fields.

The best that can be done is them with some CSS:

.users_page_connections_link #metabox-messenger { display: none; }
.users_page_connections_link input[name=department] { display: none; }
.users_page_connections_link label[for=department] { display: none; }

Add it to the cn-admin.min.css file found here:
../wp-content/plugins/connections/assets/css/

Hope that helps!