First make a backup copy of your incomplete folder. Then search for the files again. If Limewire finds the same file on the original host or on a different one, it may resume the download. However, it also sometimes starts over from 0. If this happens, close Limewire, replace the incomplete folder with the original, restart LW and try searching again until you get the D/L to resume correctly. I suggest you go about this one file at a time if you're getting a lot of files starting over from 0.
Yes..it's tedious, but at least it's possible. In some other clients, once the file is gone from the downloads window, there is no way to resume it.
I would recommend backing up your incomplete folder any time you have a significant number of partially downloaded files to avoid extreme violence towards your computer each time a crash or any other gremlin screws things up.