>> You posted a link tutorial to how syncronize server with softclous not how to run a cron job automatically for update only Web Mail Lite.
Yes this is the guide to get the latest package of WebMail Lite on your server. By default the packages are updated every 24 hours so the package should have already been downloaded on your server.
>> I have read you have lunched update script for Web mail lite, this means will be supported by the next version of Webuzo or already now?
The upgrade is already supported and you do not need to wait for the next version of Webuzo.
>> And will be supported automatically or user like me need to follow a tutorial for be able to be notified and able to update the web mail lite script?
You will be automatically notified when the new version of WebMail Lite is available for upgrade.
You can refer to the following guide on how to upgrade your existing installation :
http://www.softaculous.com/docs/How_to_upgrade_installations
>> What kind of cron you are talking about? I have to set an automated cron? Webuzo do already an automated cron for check Webuzo new version.
No you do not need to set up the CRON job. It is the Webuzo CRON to download the script package and is set automatically by Webuzo installer.