My emails were just disappearing in Outlook 2013 when connected to a POP\IMAP server. Initially I thought it is some configuration issue, but after losing few important email, I have rolled back from entire Office 2013 to Office 2010.
Outlook 2010 works great, far more reliable at least for my emails.
This confirms that there is no issues with my mail server or with my configuration as Outlook 2010 works brilliantly.
This post is jut to bring this to attention of Microsoft and hopefully appear in the statistics of issues with Office 2013.