It's at the Meteor Falls. However you need Surf and Waterfall. After defeating the Dragon Tamer Nicolas, go down over the leap ledges hanging to th left until you find an opening, then go down the ladder, surf to the top of the next floor and go through the opening. Dragon Claw is at the far end of this room.
Also this is the only place to get Bagon so grab a couple while you're there!
GL and hope I helped