Although I have no experience on Outlook 2016 so cannot help, maybe you should clarify what does it mean by "will not work" (say, will not start or some function is not functional, is there any error message displayed, etc.) in order to get people helping you.
To be clearer: it (Outlook 2016) launches and connests with Exchange (online) but nothing populates (Inbox, folders, etc.) When you then try to navigate anywhere it just hangs (not-responding). I have tired everything including uninstalling Office and re-installing. Delete email profile and deleting .pst files to no avail.