Possible Clues:

• Bear is unlikely to get hydrophobia
• Disease also known as hydrophobia
• Dog-bite concern
• Disease of mad dogs in Serbia
• Disease transmitted through saliva
• Name of disease from Serbia in 26 Down
• Up the pub? That's bound to make you hate water!
• Mad dog disease imported from Serbia
• Disease for which Pasteur created the first vaccine
• Disease transmitted by dogs, etc