Here are a few cryptic-crossword clues I have composed that are in the form of short rhyming verses. . . .

1. To see a donkey rear its head / And rear again kills great men dead (12)
2. Backs out of front door / With sacks filled with liquor; / He tracks his way to Mordor, / Where the cracks of Doom flicker (5,7)
3. It's what a ballpoint writing tool might say: / "Then treat me badly: write this clue this way!" (6,10)
4. Song: "Two times two like some large deer / Left by Temple in the rear." (7,7,6,4)

==SOLUTIONS==
1. assassinates
ass ["a donkey"] + ass ["rear"] + i ["its head"] + nates ["rear, again"]
2. Frodo Baggins
front door ("backs out of" [i.e. last parts removed from] "front", "door") + bag(gin)s (bags = "sacks"; gin = "liquor")
3. iambic pentameter
I am Bic pen ["what a ballpoint writing tool might say"] + tameter (anagram of "treat me")
4. Twinkle, Twinkle, Little Star
"Two times": (twin ["two like"] + kle: elk reversed ["some large deer", "left"]) + "Temple" [little star, "in the rear"]