I saw that the same author of Yuru Yuri had this one and saw that it wasn't finished.I was just wondering if it will be finished?
Also what's the connection between this one and the Elegy Syndrome if there is one?

The connection is utter cuteness?

Haha, well aside from that I mean

Okay, useless trivia hour, assemble around the campfire. Elegy Syndrome is Namori's doujinshi circle. The Yuri Yuri stories were Namori's part of their annual anthology. She also pitched this as a series of oneshots to Yuri Hime (Yuru Yuri was still running in Yuri Hime S at the time) and so Yuri Yuri CASE came to be. That's pretty much the only connection.

So first was the Elegy Syndrome and then the Yuri Yuri Case?