It's used to describe the sound of the tapping/sliding with bright, (usually) clean-ish guitar tone. People started using terms like twinkle-emo and twinkle daddies to describe bands that utilize that kind of sound in their guitars.
If anyone likes Innards, they should check out Father Figure as well. Featuring members of Innards and their labelmates Two Knights. Sounds pretty much like Innards, and I've listened to it quite a bit this year.