Java 1.5 is available in standard Mac OS X setup. This version does not support Tray icon, and DavMail uses a dedicated frame instead. An upgrade to Java 1.6 will enable tray icon in DavMail.
Download DavMail Mac OSX package from Sourceforge:
Safari should automatically extract the application archive. If not, just double click on the zip file to trigger decompression. The extracted DavMail.app directory is then recognised as a valid OSX application.
Just double click on the application icon to launch DavMail. On first start the application displays the Settings (Preferences) frame.
Adjust DavMail settings: Getting started