LimeWire have been informed of the problem with the download page at Lime Wire » Download Out-Of-Date Installers but seem to be slow to fix it. (only the buy pro button shows)

Birdy's link has in itself a link to a version you can download. I uploaded that version as an alternative to 4.0.10
The link works fine, but you need to follow the directions carefully. I may put in a gif to help.