Umm, well. Do you have to clawshot to get up onto a cliff, and then you can get into the cave? There's also a bug up on the cliff. Well, the wall above the cliff.
Anyways, you should run out and eventually be standing on something like a fence, but it's the floor your walking on, and to one of your sides. The glowing stuff coming from the wall means it's magnetic. And once it grabs onto you, (With the Iron boots equipped) it pulls you to a circle on the wall. The circle looks like some sort of crystal. But, once you attach to the wall, you de-equip the boots. And you should fall onto the platform. With that in mind you should be able to make your way to the exit. When you jump, equip the boots. But remember, you have to jump THEN equip. You won't get the distance if you equip then jump.