Before any ballroom closes for the evening, it would be well-served to play "Eydie's Tune" by Marshall Crenshaw. The opening guitar notes signal, "This has been a lovely evening. Thank you for coming. Please come back and see us again. Now, here's one more number before the lights go out..." For that matter, "Eydie's Tune" is a great pick for any radio station sign-off. It's ideal for announcing, "(Name of station) now concludes its broadcast day..."
Not just any instrumental is such an effective closer. "Eydie's Tune" is, however.