I recently came across the Tehilim HaChida which is the entire Tehilim with the Pesukim rearranged in the order of the Aleph Bais by first letter. From the introduction it seems like it is a special way to pray for someone who is sick or for other issues. Is this practiced anywhere in current times? If not why not?
Here's a website where you can print out Tehillim in the order of Aleph Bet for a name you want to say Tehillim for. So that's at least one place it is practiced.