Yes, I have heard of it being used on humans. I was a member of the Eunuch Archive for years before coming here. And the general consensus there is basically that the burdizzo is one of the absolute worst ways that anyone could attempt to castrate themselves.
Burdizzos are designed for livestock. And anyone who has actually seen one used on an animal can attest that this device causes IMMENSE pain. The animals that they are using it on have to be restrained, and often can even faint, because the pain is so intense. For God's sake, vets don't even really use burdizzos anymore, because they concluded that even surgical castration of cattle with no anesthesia was less painful than a burdizzo.
Basically, there is no way that anyone could successfully do this on themselves. The pain would be too intense. You're only going to succeed if you have a 2nd party do it. And it's probably going to take a serious dose of pain meds and numbing agents to get through it even then.
And not only that, but success is not guaranteed by any means. Many people on the Eunuch Archive have attempted this method and ended up failing, some multiple times, even after the immense pain that they put themselves through.
And finally, you are aware of how this works, right? Basically it works by cutting off the blood supply to the testicles, and eventually they turn black and drop off of the body. This in itself requires enduring constant pain, plus having a black sac hanging down there between your legs for weeks. And there's also a risk of gangrene, blood clotting, serious infection, and a myriad of other things that might land you in the hospital. Plus you're destroying the material necessary for SRS.
Basically, success is technically possible, but it's very rare. And even the failures still have to deal with the same amount of extreme pain. So it is VERY unwise to do it this way.
If you really are desperate to get a castration, Dr Arnkoff in Michigan will do orchiectomy on informed consent, for around $2000. That is a MUCH better option, with near negligible risks, compared to the dangerous immensely-painful DIY method that you're talking about. DON'T DO IT. Seriously. DON'T. Even the eunuch community, which doesn't generally have the help from the medical establishment that trans people do, and therefore very often have to resort to DIY methods, pretty much universally agree that the burdizzo is a horrible idea.