You can find TM02 Dragon Claw in the Meteor Falls. Here is the location exactly:
>Meteor Falls, you need Surf and Waterfall. After defeating Dragon Tamer Nicolas, go down over the Leap Ledges hanging to the left until you find an opening. Go down the Ladder, then Surf to the top of the next floor and go through the opening. Dragon Claw is at the far end of this room.
Hope I helped. :)
Source and Source II