If your Outlook 2016 client is no longer receiving new email, this could be a problem with your network connection, current password. or you have the work offline selected.
If you have changed your password recently, the Outlook client will no longer be able to retrieve your new email until that password is updated in the client. Once Outlook attempts to retrieve new email, it will prompt to enter your password.
In either situation when the client is unable to contact the email servers, your client may have a message like this:
Please check your network connection or call Technology Support Services at 419-434-4357 or firstname.lastname@example.org
Please check to make sure you don't have Work Offline selected