The improvised part starts when McConaughey says: "stay with me". That's the hint for Leo to stay in character and follow the improvisation until the very last moment of the scene.
I thought Joe Pesci said improvisation don't work like that 😂😂. There's no way actors would just go off script and the directors keep letting them rock out like that.
It's hard for me to believe that people who consider themselves geeks or say they love watching movies, whether they're young or old, have never seen films that are considered classics or cult favorites, and I'm specifically talking about mainstream cinema.