It isn't listed on the Supported Operating Systems article https://community.teamviewer.com/English/kb/articles/24141-which-operating-systems-are-supported
XP Pro SP3 lists support up to TV 14.2, but inly 14.7 is available for download, so I can't try it.
I've currently got TV 10 installed, but that's going to be disabled soon.
I've tried the automatic update from within TV itself, and a manual installation of TV13 and TV12.
I'm reluctant to upgrade from XP SP2 to XP SP3 because there may be compatibility issues with the software I'm running.
Thanks,
Ian Shaw