I don't know about tablets in vet school, but I can share my tablet experience as a field biologist/ethologist/zoologist.
I have owned a tablet since 2002. The technology has greatly improved. Tablets are excellent for those who prefer pen/paper, as that IS an option on a tablet....it can be treated like a paper notebook. The digitizer pen takes a bit to habituate to, but works very well. They are relatively light weight, and docking stations enable the use of larger monitors when at home.
What makes the tablet nicer for notes than a paper pad? searchability, convertability, multimedia note taking, compact size (one computer vs lots of note books), single source, easy back up of saved material (if you set up a replication drive), instant internet access in many place, convenient communication tool.
What are the 'sore' points? Just like any computer, you can crash, and in the middle of a class, that is horrifying. So I still carry a small notebook with me 'just in case' (in 7+ years I have only experienced 1 crash in class, and a total of 4 in circumstances that were inopportune and required the note pad back up. You need ot learn to save frequently, otherwise you may randomly lose a page of notes if you have to force close anything. The need for power. I have invested heavily in extended life batteries, but they still won't get you through a long day of use. Hard on the hands/wrists (small keyboards can irritate joints) so I also have a desktop set up with a dock and split keyboard, etc. Need to carry supplies for the laptop (screen cleaner, sd card/thumb drive (for me), extra digitizer pen. My current tablet also lacks an optical drive (its in the docking station.)
I also find that because I can capture far more with my tablet, I must be extra organized electronically. Random files or saving everything to documents won't cut it.
I plan on taking my tablet wherever I go. I haven't seen a lot of vets using them, but all of my medical doctors (when I lived in NY/NJ) used tablets for everything. No paper files. My husband is a computer expert in security work so I have some advantages in understanding the technology and its perks and limitations.