EDIT 6/17/20: This includes the variation Three Sentence fic form, so it's the Three-Sentence Five Moments of Intimacy fic form, or 3SFMI. Five scenes or chapters, three sentences each. It has a tag on AO3.
I'm open to trying the FMI form if anyone wants to prompt for it.
EDIT 6/17/20: The author has posted a longer discussion including a bingo card.