Who is Kelly Osbourne dating? Who Kelly Osbourne dated; list of Kelly Osbourne loves, ex boyfriends; breakup rumors. Somehow the fiery child of Ozzy Osbourne has yet to appear in any celeb "tapes" with any of her boy toys or exes, but in Hollywood, you never know who's going to be the star of the next tape. For now, the singer/starlet is not listed with the other celebrities with such tapes, but there's still time. The loves and relationships of Kelly Osbourne, listed by most recent. By the way, if you're looking for who her husband is, she's never married!