Obviously its finding java as it's throwing an exception; and apparently limewire installed correctly. It's bombing b/c its not finding the shared library libXp.so, which is part of X windows (at least its part of x.org). It maybe you have an outdated mdk install, x install, etc. You may try mdk suppport, whatever form that comes in.

Just for further clarification i ran ldd on the complaining file on 2 machines, one is a headless/X-less server at work (slackware 9.1), the other my box at home (slackware 10.0).

[work server]
burn@thorpeserver:burn$ ldd /usr/lib/java/jre/lib/i386/libawt.so
libmlib_image.so => not found
libjvm.so => not found
libXp.so.6 => not found
libXt.so.6 => not found
libXext.so.6 => not found
libXtst.so.6 => not found
libX11.so.6 => not found
libm.so.6 => /lib/libm.so.6 (0x40314000)
libdl.so.2 => /lib/libdl.so.2 (0x40337000)
libjava.so => not found
libc.so.6 => /lib/libc.so.6 (0x4033a000)
/lib/ld-linux.so.2 => /lib/ld-linux.so.2 (0x80000000)

[home box]
libmlib_image.so => not found
libjvm.so => not found
libXp.so.6 => /usr/X11R6/lib/libXp.so.6 (0x4031d000)
libXt.so.6 => /usr/X11R6/lib/libXt.so.6 (0x40325000)
libXext.so.6 => /usr/X11R6/lib/libXext.so.6 (0x40377000)
libXtst.so.6 => /usr/X11R6/lib/libXtst.so.6 (0x40385000)
libX11.so.6 => /usr/X11R6/lib/libX11.so.6 (0x4038a000)
libm.so.6 => /lib/libm.so.6 (0x40452000)
libdl.so.2 => /lib/libdl.so.2 (0x40474000)
libjava.so => not found
libc.so.6 => /lib/libc.so.6 (0x40478000)
libSM.so.6 => /usr/X11R6/lib/libSM.so.6 (0x405a7000)
libICE.so.6 => /usr/X11R6/lib/libICE.so.6 (0x405b0000)
/lib/ld-linux.so.2 => /lib/ld-linux.so.2 (0x80000000)

As you can see libXp.so is not found on the server without x windows. The fact that you have x installed suggests some other wierdness...