Not to be confused with Lynx which is already on here.
I tested this browser a while ago (twice) and no unsolicited connections were made both times, but it's updated since then so something may have changed.
http://links.twibright.com/ (should warn that the website doesn't use HTTPS but then against most people would download and install the browser from their distro's package manager)
Deleting a branch is permanent. It CANNOT be undone. Continue?