There have only been 2 chapters as of yet, but this is already pretty amazing. It's a dialogue-heavy series typical of the writer's previous works, and a great take on a romance / mystery story.
There are yokai, and other monsters from Japanese folklore, but so far my favorite parts were the protagonist's phenomenal courting of her love interest: utterly open (there's no secret crush), dogged, usually extraordinarily polite, and always amusing. Oh, and did I mention she's a confident person with a cane? She doesn't quite use it like Dr. House, but it's great nevertheless.
How do I put this... if Lucifer no Biscuit Hammer was one great mangaka's original take on a previously stale monster-of-the-week / Power Rangers formula, then so far, Kyokou Suiri is another great author's original take on stereotypical romance stories.
I highly recommend you check it out.
Addendum: Having read up to chapter 13, everything above still holds true. But I do want to add some praise for the mangaka, as well: this is a novel adaptation, and the author was apparently almost entirely hands-off, so the wonderful panel flow etc. is presumably entirely due to the skilled mangaka.