1st try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
If that doesn't make any difference, change your Java version. eg: If you have Java 1.5 then change it over to 1.4.2 or vice versa. You'll find links for Java in my above link.
Oh do you mean the LW screen is white? If yes then see
The way to fix the Blank screen on startup