Personally, I would date any human being that I care about *like that* that feels the same way for me. The problem with people that cut, at least for me as a person that tends to care too much, that I end up being the therapist for any people I come across that cut or need emotional support in a relationship. Personally, I feel like doing that and trying to maintain a healthy relationship would be hard, especially because if I mess up I can cause a lot of damage. It's not so much about me as much as the other person- if I can't offer the kind of support of someone that cuts/has cut I don't know if I can be all that they will need and deserve, if that makes sense.
I would date someone who used to cut. If they relapsed, I'd be there for them, but I wouldn't start dating them if they were still cutting. They wouldn't be emotionally stable enough to truly handle a relationship.