Good to know that Hopper, Mark and Ady lived to tell the tale, but statistics confirm Asbestos isn't safe.
Your choice: believe in the personal experience of 3 chaps on an internet forum or the figures; about 55,000 deaths worldwide per year. A good deal depends on which type of Asbestos one is exposed to, how often, and it what form. One type is far more dangerous than the other, do you know which is which?
I've been more nervous of asbestos since a colleague died of Asbestosis. Office worker, exposure low. Our building was erected in 1939, and the underside of its concrete slab flat-roof had been insulated by spraying a few inches of asbestos underneath. Beneath that was a suspended false-ceiling, so not much chance of trouble. Unfortunately, the roof immediately over his office leaked and a section of false ceiling was removed during attempts to repair it. After noticing but not worrying about a fine sprinkling of dust he developed a little cough… Then the poo hit the fan!
I'm afraid personal experience is an extremely poor way of detecting carcinogens. For them to show up thousands of people have to report sick before the data eventually indicates a problem, usually long after the exposure, .
Playing Russian roulette, there's a 1 in 6 chance of blowing your brains out. Perfectly possible for an individual to pull the trigger more than 6 times without ill-effect, but his good luck absolutely doesn't mean the game is safe. Working with Asbestos is far less risky than playing Russian roulette but nonetheless a Japanese study found 39% of a workforce installing asbestos boards eventually developed Asbestosis.
Announcing "I'm all right" is a form of survivorship bias and falling for it leads to bad life decisions.
I doubt a lathe clutch is a widow maker, but even so I'd treat it with respect, just in case. Not difficult: wear a face-mask, wet clean the clutch, bag up the remains, do it outside, and avoid scattering dust.
Dave