Given the interest in limericks of several members of this site, this might be of interest, describing where a contestant is asked to rhyme distraught, brought, and hot. Phonoloblog. (Hat-tip: Literal-Minded)
Build a man a fire and he's warm for a day. Set a man on fire and he's warm for the rest of his life.
That's one of the well-known problems. Some time ago I was given a present of a rhyming dictionary but I have to be very careful in places because it's American and a lot words listed as rhyming in there just don't for me. Because it's an area I'm familiar with I might have guessed the last line but for me it could never actually rhyme.
"No man but a blockhead ever wrote except for money." Samuel Johnson.
Ah, yes, I often listen to that limerick rhyming on "Wait Wait Don't Tell Me!" They're usually very easy, but sometimes situations like this occur. I think I remember this very one.