Welcome to the Enigma Interface

Can you piece it together?

"The clock struck thirteen, but no one seemed to care..."
"Do you remember the taste of rain on a Tuesday in May? Or perhaps it was June..."
"No, I left the key under the banana peel, next to the rusty shovel."
"There once was a cat that knew too much, they called her Sphinx..."
"Wait. What was the question again? You were busy counting sheep."
"Truth is a mirror; broken, it reflects only shadows."