Thanks, pinoc, I appreciate your great explanation of everything.
I guess I will find out the hard way soon enough, but I'm curious - does wine have to be installed before TeamViewer will work in Linux? It appears that you're saying the installation of TeamViewer sets up its own version in its own directory, but that is just a guess on my part, really.
yes, correct, Teamviewer has its own customized wine setup included. This setup is completely independent of a wine installation from Synaptic, so you do not need to install wine in order to run Teamviewer.
On the other hand I assume you could run the MS-Windows version of Teamviewer under a PCLinuxOS Wine installation. Sorry but maybe now you are more confused than before 
No, not at all, and thanks again for the explanation.
As for running TeamViewer for Win under Wine, I won't bother if I can help it. I was thinking about the folks I plan to support when I asked, and most of them have no other need for Wine.
Personally, I don't like Wine very much and have no real need for it, although I do still like to run Irfanview in it on one box (must write another email to Irfan re: Linux!). My other PCs have Vbox for anything else Win-related, including experimentation... hmm... might have to try TeamViewer in VBox later!