Also known as an alphabet poem. Below is an example from Paul West, who is said to be the inventor. As you will note, his is not a strict abecedarian ("Xenodocy's" made-up, and Z is missing). It's a tough form in which to write something that flows: but I think this one works. Try it today!
PS: Carolyn Forche has an incredible 24-page long line-abecedarian in her book Blue Hour. It is freakin' amazing.