Packing a double pun into a sentence, etc., or too much of a pun.
Sometimes this is done unconsciously. It may be a real groaner or sharp tongue-in-cheek. Depends on one's alcohol level, intelligence, or caffeine buzz.

Anatidaephobia is defined as a pervasive, irrational fear that one is being watched by a duck. The anatidaephobic individual fears that no matter where they are or what they are doing, a duck watches.

Anatidaephobia is derived from the Greek word "anatidae", meaning ducks, geese or swans and "phobos" meaning fear.

When a joke or pun is so over used that it becomes repundant