Pick up the DK Barrel near the start—you will need the Barrel Jet. Some of the platforms on this level have spikes that pop up and then retract. The retracted spikes will shake a bit before they pop out, so watch for them and get ready to jump when they start shaking.
Buzzbites move along some of the platforms. This can make timing your jumps difficult, since you have to worry about both the spikes and the Buzzbites.
The first Puzzle Piece is on this spiked platform. Time your jump: when the spikes retract, pound the container to get the Puzzle Piece and then jump over to the circular platform to the right.
Some of the circular platforms have orbiting spikes. As these come over the top of the platform, stay put to avoid the spikes.
To get the next Puzzle Piece, jump over to this circular platform and land on the Tiki Goon to get rid of it. Then pound the container to get the Puzzle Piece.
The third Puzzle Piece hovers over a spiked shaft. Get to the platform next to it and wait for it to extend up. Then as it lowers, jump over it and get the Puzzle Piece, landing on the Tiki Boing on the other side.
The next Puzzle Piece is below a spiked shaft. To get this one, you must roll across the gap. As soon as you touch the Puzzle Piece, jump up to land on the next platform.
The last Puzzle Piece is located just above a barrel. Get to the right side of the last large circular platform, and ride it to the top as it tilts. Then jump over the barrel to get the Puzzle Piece. Drop into the barrel to continue on.
Collect one more org at the end of the level.