LogFAQs > #966055210

There was something of a story in a mode that ended because a lot of people didn't like it (I enjoyed it). Right now there's extremely minimal story when they introduce new types of content or have one of the quarterly festivals (like a few minute cutscene each time, maybe). The Japanese version is continuing, though, so that will have content that we'll presumably never see (JP is 6 months ahead of the global version).

The story is definitely not the draw of the game. The gameplay is actually really fun, though, with rewarding and difficult fights.