I didn't even know LimeWire was still around! Who even uses it anymore? What really humors me is that some people are afraid of companies like Google or Microsoft knowing information about them, but they use LimeWire and download files that could potentially harm their computer. There are so many other ways to listen to free music these days; it's stupid to use programs like LimeWire, Frostwire or SoulSeek. You can get viruses, spyware, adware and malware from downloading files from other people, let alone trusting a program that is assisting in illegal activity. Sure the program isn't illegal, but any program that's main purpose is to assist in pirating copyrighted files shouldn't be trusted.
That's just my perspective. I've never gotten a virus. If you're finding this out for the first time I recommend you uninstall LimeWire with Revo Uninstaller, install a free anti-virus program like Microsoft Security Essentials or Avast and also an anti-malware program such as Malwarebyte's Anti-Malware.
So what are some alternatives to pirating music? Internet radio sites like Pandora, Last.fm and Grooveshark. All three are excellent and provide enough for your music needs. If you want to insist on downloading music a safer way is to use a browser extension such as Orbit Downloader. I've used that method for some time and it works nicely. Orbit Downloader will detect any flash content, you can download the media files you want.