There are three notable films titled The Blue Iguana or similar, but the "deep piece" likely refers to the cult 1988 neo-noir or the 2018 heist comedy starring Sam Rockwell. 🦎 The Blue Iguana (1988)

A British romantic comedy-thriller directed by Hadi Hajaig. Two low-level American criminals on parole are recruited by a lawyer to steal a valuable diamond—the "Blue Iguana"—in London.

Largely mediocre reviews, though Sam Rockwell's performance and chemistry with Phoebe Fox are often cited as highlights. Dancing at the Blue Iguana (2000)