Update from the Associated Press (emphasis mine):

"As I've said before, I grew up in a family of hunters," Gillibrand said. "It's a pastime in upstate New York. It's a sport. It's something that's part of our heritage, part of our culture. So I very much believe in protecting hunters' rights, and I've always believed in protecting hunters' rights. ... It's a core value for our region and for our state."

But she acknowledged that "there's a lot of concern in our city communities about gun violence," and she said that while she represents all of New York, "my advocacy will be broader."

NB: also note emphasis on HUNTERS rather than the "cold dead hands" loonies.