Line names weren't a big thing on my campus, although a few of the fraternities had pledge class names (which I think is essentially the same thing).
One of the fraternities had each pledgeclass paint a brick in their chapter room with their pledgeclass name & then everyone in the class' nickname. (It was a small school... not like there were ever more than 15-20 people in a pledgeclass!) I always thought that was kind of cool, to look around and see the names of all the brothers before them. And some of the class names and nicknames were pretty funny!