Beware of using the Find Sources/Resume function when on dial up. If you use it on too many files at once it will affect LW's connection. Instead, just apply it to one or 2 at a time if you use it.
Other than that, try deleting your LW Preferences folder whilst LW is
closed; instructions here:
Point #2 & 3 in Fixes for Limewire (sample image included at bottom of page.) This may have a positive effect. But next time you open LW, you will need to set your options again.