The first Puzzle Piece is right near the start. Just head to the left into the crystals and jump up to get it for a great beginning to your collection for this level.
Once you reach the top of the level, head right and get the DK Barrel; you will need Diddy Kong. After swinging across a couple vines, drop down and enter this opening to a bonus area. Clear it out to get the Puzzle Piece.
After going past the checkpoint, swing across on four vines, collecting coins, bananas, and a balloon as you go. At the end, jump off the last vine and get the K KONG letter before you land on solid ground again. Grab a DK Barrel if you need one here; Diddy Kong makes this level a bit easier with his hover-jump.
At the right edge of the platform where you got the DK Barrel, jump down into a group of leaves. You will land in a barrel that will shoot you to the left to get a Puzzle Piece; then another barrel shoots you back up onto the platform.
Swing across to the next platform. Pound a gourd in the bottom right corner to find another Puzzle Piece. You can also get a couple coins and a heart on this platform, so knock out enemies and pound other gourds to rack up the goodies.
Jump over to this grass-covered log and climb to the top, avoiding the beaters. At the top, jump off to the left and grab on to a hard-to-see vine that is hanging down from the treetops. Climb up it to enter a bonus room where you can earn a Puzzle Piece.
Jump across and crawl around the grassy logs. At the top of the third one, you can retrieve the O KONG letter. Move around to avoid the Buzzbites, and then jump across to the platform where another checkpoint awaits. Save your progress.
Swing across more vines. Be sure to collect all the bananas below the first set of vines and a Puzzle Piece will appear in the air. Climb up the second vine to collect it, and then keep swinging your way to the right.
As you swing over some Chomps, collect the N KONG letter. You must be careful as you jump here, since these voracious plants stretch up to try to bite you. When you land on the next platform, pick up a DK Barrel to restore your hearts and get Diddy Kong back if necessary.
The next vines you swing across have Ape-Eating Plants at the top. As you grab on to the vine, the plants will slowly pull you in toward their mouths. Keep moving, and when you near the end of this section, jump across between two vines and get the G KONG letter. This is tough, since it is close to the mouths of two plants.
When you reach the Slot-Machine Barrel, jump down onto a platform to the left. Blow on the propeller flowers as they float up. Get all of the bananas. Once you do this, the last Puzzle Piece will appear.