Leone was claimed off waivers by the Blue Jays on Friday, Steve Gilbert of MLB.com reports.
Leone struggled out of Arizona's bullpen, but his minor league numbers are much better, and given his track record of good strikeout rates, the Blue Jays decided to take a chance on the right-hander. He's only 25, so he could develop a bit more and could become a bigger part of the bullpen if he can show more control.