It's been a while since we've had this theme. 😉
This genre recently appeared in Puzzle Communication Nikoli Issue 181. I like it! It feels like a fusion of LITS, Yajilin, and (to a lesser extent) Chained Block. Diagonal adjacency genres are pretty cool (and, funnily enough, Nikoli calls this type of ruleset a fad!). Be warned, though, this is not the most gentle introduction to the type.
(Also: Nikoli calls this Tetra Chain Y, because another puzzle in that issue has the same tetromino adjacency rules. I don't like the Y there, so I removed it. This name is tentative, though.)
Rules: Shade some cells in the grid to form tetrominos which do not share an edge. Clue cells cannot be shaded and indicate the number of shaded cells in the direction of the arrow up to the border of the grid. Identical tetrominos cannot touch at a corner, and all tetrominos must be connected diagonally (i.e. by corners).
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