Hmm--I'm not sure what the "Segmentation fault" is, but looks like a problem with the install process and the temporary directory. (corrupted installer?)

To start fresh, delete the installer from the desktop, clear the browser cache to get rid of the cached download (Safari, I assume), and download a new installer.

delete the /Library/Receipts "InstallLimeWire.pkg" (it's in the Hard Drive's Library)

delete the ~/Library/Preferences "LimeWire" folder

Do a safe boot (startup holding down the shift key after the startup sound).