"There was a young lady whose chin,
Resembled the point of a pin;
So she had it made sharp,
And purchased a harp,
And played several tunes with her chin."
It's definitely a Limerick! It best fits the definition of Limerick because it is five lines in length, has an anapestic meter and an AABBA rhyme scheme, and is humorous in nature (notice the "punch line" at the end).
