Yes, it will work on SSL.
1. Open the following file: CuteSoft_Client/CuteEditor/Configuration/Shared/Common.config
2. Remove all the example code which points to CuteSoft site. For example, remove this: <html><![CDATA[<img border=0 align='absMiddle' src='/data/signature.gif' /> CuteSoft]]></html>
asp.net Chat http://cutesoft.net/ASP.NET+Chat/default.aspx
Web Messenger: http://cutesoft.net/Web-Messenger/default.aspx
asp.net wysiwyg editor: http://cutesoft.net/ASP.NET+WYSIWYG+Editor/default.aspx
asp wysiwyg html editor: http://cutesoft.net/ASP
asp.net Image Gallery: http://cutesoft.net/ASP.NET+Image+Gallery/default.aspx
Live Support: http://cutesoft.net/live-support/default.aspx