The program stops opening? You haven't specified which OSX or which LW version you are running. I'm guessing the latest right? If you are using an earlier OSX then you'll need an earlier LW version. If you are using OSX 10.4 then make sure you updated all your Java so you have Java 1.5. And try this version LimeWire cvs builds (4.13.4jum490) (try a nightly build)

If you're using OSX 10.3 or earlier, then see Lime Wire » Download Out-Of-Date Installers