Originally Posted By 71GTX471
Could it be the steel starter shield buzzing if equipped.

Well, that's the other end of the spectrum (and other end of the transmission, of course) but I can't say definitely not, either.
Stranger things have happened.
I think the key to this mystery is what I was doing to the car when this occurred.
I pulled away easy from a stop sign, then tromped on it once underway. A fast grab of 2nd, dropped the clutch pretty hard and laid down two black strips, then heard the noise as I eased back off the throttle.
It's been there ever since, even though the car drives just fine.
I get it up over 50 and the "switch" gets flipped and the racket begins, every time.