Here is an example
I like this one by anon. At least it doesn't repeat the first line as too many of Lear's do, rather irritatingly.
Here are some of mine.
You can send us your limerick here
In remembrance of old Edward Lear
But perhaps if you dare
You can add one right there
At the Gallery where he's held dear Nick Owen
The poet called Lear once said
It is nonsense that fills up my head
But I think you will find
He 's a quite brilliant mind
And his poems live on now he's dead Nick Owen