Went to dine with some men
He said, "If anyone calls,
Say I'm designing Saint Paul's."
The sub-rule seems to be that the name of the person whose (purported) biographical work it is, appears in the first line.
So I cooked up the following Clerihew.
Mr Shashi Tharoor
Was shown the door
When he played on an unfamiliar wicket,
A game that does not sound quite cricket.
But, one more rule seems to be that it is not satirical. Perhaps mine does not qualify.