Ahem - that's an uncommon homonym. "rime" is hoar frost on an object. A type of poem is a "rhyme".
The UK Victorian temperance societies' children's "Band of Hope" had modified nursery rhymes about the effects of alcohol.
Little Tommy Dun, the piper’s son
Drank some beer and tried to run.
He tripped his toes and broke his nose
And went to jail in ragged clothes.