I see this data in your report:
<MATCHING_FILE NAME=".NetworkShare\LimeWireWin4.9.29.exe"
...

Apprently you are trying to install Limewire from a network drive; this application hang may be caused by instability on your network drive (possibly a problem with your files server), or by incompatibility of your network filesystem with the installer.

May be you should retry by running it from a local drive (the default installation path for Limewire is "C:\Program Files\LimeWire")

This is apparently not a Limewire bug, but a limitation of the installer.

So make sure you don't download and run it directly from your internet browser cache. Download the Limewire installer to a local path (click on "Save" rather than "Run" when you see the prompt for the clicked download link), and once it is downloaded run it from there!

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