I went into /usr/lib/LimeWire and ran "java -jar LimeWire.jar"

LimeWire started up just fine. It seems to be something in the runLime.sh script.

It may be getting tripped up on the fact that libawt.so appears in two places on my machine... it's in /usr/lib/jvm/java-1.4.2-ibm-1.4.2.1/jre/bin and it's in /usr/java/j2re1.4.2_07/lib/i386.