What does the cryptic crossword clue "Piece of fiction with classical air that’s out of date (3)" mean?

The definition is "Pie". The wordplay uses a deletion. LIE (deletion) = LIE The answer is LIE.

Piece of fiction with classical air that’s out of date (3)

Guardian Cryptic #29571 | 19 Across | 2024-12-20 flower