Possible Clues:

• Amusing five-line rhyme
• Fruit alongside haystack in Irish county
• Poem often starting with "There"
• There once was a chief executive and artistic director in the structure, who were part of the city of culture
• Stack is after one of The Greens in Munster
• Humorous short poem
• Slimy material -- maybe, Astley's verse
• Composition with citrus twist
• Humorous five-line verse
• Rice stirred with milk, a speciality of 22 10