Is there a noun for or an adjective that describes stories that can be read from beginning-to-end repeatedly? That is, the beginning of the story is a seamless continuation from its ending. You could copy paste the story infinitely many times in a row and it would be totally coherent. One example is the song "There's a Hole in My Bucket" that brings you back to the starting point.
Wikipedia describes Samuel R. Delany's novel Dhalgren as a "circular text". This seems to me like a fairly good name, and I expect you're not going to find a better one.
Dhalgren is indeed a member of the class of texts you're looking for; it ends and begins:
Waiting here, away from the terrifying weaponry, out of the halls of vapor and light, beyond holland and into the hills, I have come to
to wound the autumnal city. So howled out for the world to give him a name. The in-dark answered with wind.
(Although maybe "totally coherent" isn't the best way to describe either Dhalgren or Finnegans Wake, which are both circular texts.)