If the installer is not working for you, I would recommend simply manually downloading the necessary files.
The IBM JRE should work with RedHat 7.1, and LimeWire should be able to run on it. You can download the IBM JRE from:
http://www6.software.ibm.com/dl/dklx130/dklx130-p
You will have to register on their site, however.
Once you have the JRE installed, you will also need the following two file from the LimeWire web site.
www.limewire.com/updates/LimeWire14.jar and
www.limewire.com/updates/collections.jar
Once you have all of these files downloaded, you can then type:
java -cp LimeWire.jar:collections.jar:. a.a.a.b.Main
from the directory where you downloaded the two LimeWire files.
We will create a better solution at some point for systems on which our installer does not work. I realize that the above system is quite cumbersome, but you will only need to download the JRE once. LimeWire will automatically update the jar files for you when we release new versions.