I love stuff like that. In fact, if I saw a structure like that mentioned in a review or blurb of a book, it'd be enough of a hook for me to find the book in the library or grab the Kindle sample of it.
An experimental storyline works best, though, when you have some sort of thematic reason for its existence. If I were to get to the end of the book and not understand why the author had chosen to tell the story that way, I think I'd be frustrated. Actually, I think the reason for the structure should start to become apparent by the middle of the book. That way, the reader can become fully engaged with piecing the story together without wondering
why he or she is being asked to follow a very non-traditional storyline.
Also, with regard to fluidity, in film it's easy to have visual cues alerting you to when certain things are happening (I'm thinking of
Pulp Fiction, and how it was not terribly hard to figure out the general order of the storyline by seeing people's clothes and hairstyles and seeing who was alive and who was not...). In literature, that's less easy, and I suppose some authors would resort to something artificial, like putting the date and time at the beginning of each new chapter or scene. But I think I'd like it better, as a reader, if the author wove in details that helped me figure out where in the chronology I was at without explicitly telling me.
I'm trying to think of YA or MG books that use a really nontraditional storyline. In Kathleen Duey's A Resurrection of Magic series, she has chapters that alternate between narrators and time periods (one story is happening several hundred years after the other, if I recall). I can't think of anything else right now. If you're into classics, William Faulkner's Absalom, Absalom! has a story that's told different ways, with a different chronology each time. And since it's Faulkner, he just lets you flounder about for 200 pages until you pick up on what's going on.
