Uninstall is not possible, the following message appears:

this says that the network resource is not available. I wonder which network resource this would be, as the download had been done to the C drive, no network involved (the same error message on installing and on deinstalling).
When I search for the msi file on disk, only one is found. But when I choose that one, it is not accepted, and installation process aborts.
I finally managed to uninstall the old version of LR and to install the new 5.2 version, respectively, as follows:
- I downloaded fixit from Microsoft's support page http://support.microsoft.com/kb/971187
(the link shows the German translation, but I guess the fixit software by Microsoft will work in different languages, or there must be the equivalent page in English too, I guess)
- I ran the fixit program. Checking Installation did not help. Checking Uninstallation, where I chose Lightroom 5 (previous version) did help, the program was now finally uninstalled.
- I restarted the PC
- I started the downloaded Lightroom file for version 5.2. This time, the installation worked correctly.
Hope that helps for others too.