Tori is generally considered a nickname in and of itself (for Victoria), but nicknames for it could be Tor, Torabelle and TorBear.
Famous People Named Tori
Tori Kelly (singer)
Tori Spelling (actress)
Tori Amos (singer)
Tori Praver (model)
Of interest, check out the ten greatest nicknames in history, featured at io9.gizmodo.com.
Name That Baby! Here's a guide to choosing the perfect baby name, shared by Parents.com.