Dr. Devil and Mr. Hare is a 1964 Warner Bros. Merrie Melodies theatrical cartoon short directed by Robert McKimson.
Two giraffes hear this and end up running, and two beavers use their tails to beat out the message on the log that translates as "Take Cover!
A bear and a moose fighting hear this and end up running as well, and as a stampede of animals leave the jungle, Bugs is bathing in a nearby pond unaware that Taz has spotted him.
Bugs acts as though he thinks it is blood and freaks out, telling Taz to find a doctor.
Then Bugs dressed as Sigmund Freud makes Taz lie on a couch and talk about his childhood.
Bugs declares closing time and folds Taz and the couch into a suitcase and puts it in a mailbox, which gets picked up by a mail truck.
It is also shown as uncensored, fully screened and uncut, on the Looney Tunes Platinum Collection: Volume 1 Blu-ray box-set.