Quick Solution: Pygmy goes fishing.
Hint: Hook, line and sinker.
Quick Solution: Pygmy catches fish.
Hint: You said a mouthful.
Quick Solution: Pygmy eats fish.
Hint: In your face!
Quick Solution: Fish-slap a Pygmy.Hint: Rude awakening.
Quick Solution: Fish-slap a sleeping Pygmy.
Hint: The deadliest catch.
Quick Solution: Shark pulls fishing Pygmy into water.
You have unlocked the Fish God Idol!
Hint: Cast the line.
Full Solution: Make sure 'Fishing' is turned on under the island drop-down. A stick will appear on the island. Drag a pygmy next to the stick, and it will use the stick as a fishing rod. 
Full Solution: Make a pygmy go fishing as shown above. Wait until a shadow in the water swims towards the pygmy's rod. The pygmy will then pull on the fishing rod and pull a fish out of the water.
Hint: You said a mouthful.
Full Solution: Make a pygmy catch a fish. Then drag the pygmy so that it is standing near the fish, and it will eat the fish.
Hint: In your face!
Full Solution: Make a pygmy catch a fish. Then quickly drag the fish across the screen so that it hits the pygmy in the face.
Hint: Rude awakening.
Full Solution: Make a pygmy catch a fish. Then drag the sun downwards so that it turns into night time. Allow the pygmy to fall asleep, then quickly drag the fish across the screen so that it hits the pygmy in the face.
Hint: The deadliest catch.
Full Solution: Make sure the 'shark' option is activated. Make a pygmy go fishing, and simply wait for the shark to pull him into the water.