Is there a version of Teamviewer QS that will run on OSX 10.6 and OSX 10.5?
Yes, there is a version of TeamViewerQS compatible with Mac OSX 10.6/10.5. It can be downloaded through the official website.
Download page: https://www.teamviewer.com/en/download/dyngate.aspx#version9
This is the latest version of TeamViewerQS to support older Mac OS X versions.