I also see the error message above is missing some vital info. It's impossible to make sense out of an incomplete error message. Follow the instruction given to you. And provide for them details about your set up. Here's some clues:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. How much ram?
4. Hard Disk space available?
5. Connection type? (eg: dialup, broadband, cable, etc.)
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
8. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
9. Who is your isp provider (Internet Service Provider)?
10. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
11. Do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?
12. Is this a your 1st try at LW or is this a new problem with an experienced user.

Chriselle: "I have a firewall but have not adjusted it at all." Well you should have. It may be blocking LW from opening or accessing the net depending on the FW. Configure your firewall so it allows LW full access (advisable not to have 2 active firewalls b/c they can interfere with each other); Firewall configuration instructions (click on link)

Chriselle, I suspect you have a corrupt installation of either LW or Java. Might I suggest you start from scratch. ie: Use the Add/remove control panel & remove Java. Then reinstall it using the "Offline" installer. Find a link to it in point #1 here: Fixes for Limewire Also do point #2 in this link.
Then get the "Offline" installer from http://www.limewire.com/english/content/download.shtml & reinstall LW. No need to uninstall LW as it will uninstall itself during the installation process.

If same problems after all that, then uninstall Java again, & get the "Offline" installer for Java 1.4.2 Sometimes Java 1.5 doesn't behave well on some people's systems.

__________________
Imagination is more important than knowledge. -- Albert Einstein
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former. -- Albert Einstein
640 K [of computer memory] ought be enough for anybody. -- Bill Gates (1981)
The secret to creativity is knowing how to hide your sources. -- Albert Einstein
When facts don't fit the theory, change the facts. -- Albert Einstein
Religion keeps the poor from murdering the rich. -- Napoleon Bonaparte
The important thing is not to stop questioning. -- Albert Einstein
I know not with what weapons World War III will be fought, but World War IV will be fought with sticks and stones. -- Albert Einstein
"A composer is a guy who goes around forcing his will on unsuspecting air molecules, often with the assistance of unsuspecting musicians." -- Frank Zappa
"Tobacco is my favorite vegetable." / "May your sh*t come to life and kiss you on the face." / "Scientology, how about that? You hold on to the tin cans and then this guy asks you a bunch of questions, and if you pay enough money you get to join the master race. How's that for a religion?" / "Communism doesn't work because people like to own stuff." / "There are three things that smell of fish. One of them is fish. The other two are growing on you!" / "Jazz is not dead, it just smells funny." / "The creation and destruction of harmonic and 'statistical' tensions is essential to the maintenance of compositional drama. Any composition (or improvisation) which remains consonant and 'regular' throughout is, for me, equivalent to watching a movie with only 'good guys' in it, or eating cottage cheese." / "Remember there's a big difference between kneeling down and bending over." / "The most important thing to do in your life, is to not interfere with somebody else's life." / "Rock journalism is people who can't write, interviewing people who can't talk, in order to provide articles for people who can't read." -- Frank Zappa
"The music business is a cruel and shallow trench, a long plastic hallway where thieves and pimps run free and good men die like dogs. There's also a negative side." - Hunter S. Thompson
The shy can light the dull dark room with life when their eyes mirror their inner sunrise - LOTR