Instructions
Teach Surf to a Pokemon and bring that Pokemon, along with the rest of your Pokemon team, to the mouth of Meteor Falls. Pokemon learn how to use Surf when exposed to HM03. The cave leading into Meteor Falls is found west of Fallarbor Town.
Descend to the second basement level of Meteor Falls into a long rectangular room featuring a lengthy moat.
Face the moat and use Surf to ride the water. Swim to the other side of the moat and pick up the Dragon Claw teaching item TM02 off the floor.