Hi Hee,
LiveSupport customization please refer to http://www.cutesoft.net/live-support/Developer-Guide/, the customization section.
You do not need to source code license to customization to CuteLiveSupport server side.
For now the operator do not allow to customization the layout, it is a compiled program. If you need to custom it, you need to purchase the source code license.
Regards,
Ken