In the books, Pooh and Piglet fear heffalumps, and in an attempt to cover their fears they attempt to bravely capture a heffalump in a trap. But no heffalumps are ever caught in their trap, and indeed no heffalump is ever met within the course of the books aside from those that appear in Pooh's nightmares, wherein they are very fierce and are intent on stealing Pooh's honey.
In the television series, most heffalumps are enemies of Pooh and his friends. They are known to steal honey, and are often associated with woozles. Piglet befriended a young heffalump named Junior in two episodes of The New Adventures of Winnie the Pooh.