Hi,
there is a bug in our java-detection script. It will be fixed in the next version (ETA next week or so). If you do not want to wait, do the following:
1. open a terminal and become root
2. cd /usr/lib/LimeWire
3. rm -f runLime.sh
4. wget
http://www.limewire.org/zlatin/runLime.sh
5. chmod a+x runLime.sh
6. chmod a+r runLime.sh
after that Limewire should start properly.