Green’s Dictionary of Slang

tune n.

In phrases

play a tune on the meat whistle (also ...the skin flute)

(US) to fellate.

[US]T. Berger Sneaky People 305: ‘[P]lay a little tune on my meat whistle. Don’t bite, and maybe I'll slip you a dime’.
[US]D. Fulmer Blue Door 65: He would have shacked up with her in a flophouse. That’s what he really wanted. And not just to [...] play a tune on his meat whistle whenever he felt lonely.