...The wiki describes the cause - the clock of my server is not in sync - but does not offer much of help. Usage of ntp is suggested.
dovecot: 2008-08-31 09:12:50 Fatal: Time just moved backwards by 11 seconds. This might cause a lot of problems, so I'll just kill myself now. http://wiki.dovecot.org/TimeMovedBackwards
...
Openntpd syncs the system clock but does not slow it down (effectively causing the same problem). ntp offers to slow down the clock with side effects to database and CMS.
Examination of the logfile reveals that webmin runs a time sync just before dovecots unnatural death. OK, here's the cause.
...Restarting dovecot right after the time sync will solve the problem. You can do that from the webmin user interface:
Aug 31 09:13:01 myserver /USR/SBIN/CRON[12345]: (root) CMD (/etc/webmin/time/sync.pl)
dovecot: 2008-08-31 09:12:50 Fatal: Time just moved backwards by 11 seconds. This might cause a lot of problems, so I'll just kill myself now. http://wiki.dovecot.org/TimeMovedBackwards
...
System/Scheduled Cron Job/Create a new scheduled cron jobenter
/etc/init.d/dovecot restartselect time right after /etc/webmin/time/sync.pl
and you are done.