hi
i have the same problem and i have verizon too. When im actually able to get the file to download (mostly it either takes forever or never begins to download because almost every file i try to download it will either say needs more sources or finding 300 sources and then say awaiting sources)

I bought limewire pro, thinking it would be beter than basic but nope, same thing.

Oh and i have the turbo speed connection and the download speed at the max i have seen so far is line 200 kbs and on averge like 20 or mabey a little less kbs, actuall say it say 8kbs and it would have taken like 16 days to download, its ridiculous. Even for a simple song. I changed the firewall setting in my control panel to allow limewire but ton lime wire it still shows that picture of a firewall.

I thought it was a problem with the 4.13 beta so i uninstalled it and installed 4.12 but now when i open up lime wire its changes the splash screen from the 4.12 to the beta version,which i find odd when i thought i deleted everything from lime wire before installing 4.12

my pc spec (off the top of my head, lol)
um..
amd 64 athlon 3500+
windows vista home premium
1 gb ram
512 mb ati x1800xt
audigy 4 sound blaster
..thats all i can remember now, let me know if you need any more info.