I have this same problem.
Except for me, when I open Limewire (4.9.37) it gives me the same message and I press "ok." Then I can get into Limewire and download just like nothing happend. OK, so it sounds like it's not too big of a deal but after a day or so, Limewire isn't accessable at all.
After those few days, Limewire looks a little something like this...
I then have to redownload Limewire and it will work.... for about a day and have to repeat the process pretty much everytime I want to download something. Oh, and I have also tried the offline download.
Anyone else have any ideas? Thanks.