Do you see the firewall icon (brick wall in front of the blue globe)?

In LW go tools > options > bug reports > view example. Scroll down to 'recieved incoming this session'...if it's true then other computers can connect to you & so other people should be be to download (and you'll see uploads).
If it's false, then it usually means there's a firewall problem somewhere that's preventing other people from connecting to you.

Try deleting LW's preferences folder when LW's properly closed. See point 3 here & also point 2 if you've used older versions of LW in the past (there could be a folder in either location).
Fixes for LimeWire
This will change all of your settings within options, you'll have to go back through afterwards & reset things. If you're not sure of your settings, go through LW's tools > options & write them all down, so that you can reset things later.

You could also try changing ports...in LW tools > options > advanced > firewall config. Change LW's listening port to 65000, or try any port numbers in the range of 49152 - 65535 > apply > ok.

If that doesn't help, please give us your system details & we can look at some other things to try
System details - help us to help you -> Provide these details when you post!!!