My wife fought her last fight topless. She didn't want to but the rules of our "club" were that the prior winner sets the rules under which a challenger must fight, and she had lost to this girl when they fought for the first time. It was in front of an audience, and I thought my normally shy wife wouldn't agree but she did. My wife's nipples are large and prominent, and in my opinion tender and fragile. (She doesn't like me to bite them, even playfully, during lovemaking. Sucking and trying to drive them into her breast with my tongue however drives her nuts). I was worried but as it turned out she beat her handedly. (Story posted before).
Since that fight she has been training with a new trainer, and breast punishment seems to be part of the training regimen, as I've noticed some blood stains on her sports bras she wears for practice.
I'm not sure if you asked the question because you were worried about breast damage, or exposing yourself.