From the Super Mario Wiki
Kudgel's Kontest is the boss level of Krem Quay, the third world of Donkey Kong Country 2: Diddy's Kong Quest. In order to reach the fourth world, Krazy Kremland, the Kongs must defeat Kudgel, a large Kremling who carries a spiked club. It is the only boss level in the game without an equivalent in Donkey Kong Land 2.
The battle takes place near a swamp. The arena is a simple flat stretch of land.
When the fight begins, Kudgel will leap into the air and drop down from the top of the screen, attempting to land on the Kongs. If the Kongs are on the ground when he lands, they will be temporarily stunned. After doing this three times, Kudgel will swing his club, then leap offscreen again while a TNT Barrel spawns in the middle of the arena. The Kongs must pick it up before Kudgel comes back down, or he will destroy the barrel. Once Kudgel lands, the Kongs can hit Kudgel with the barrel by throwing it from a distance. If they're too close, Kudgel will swing his club and block it. The process repeats for two more cycles, with Kudgel getting faster each time he is hit. After the third hit, Kudgel will start jumping toward the Kongs in an arc. Once again, a TNT Barrel spawns after every third jump and he speeds up after being hit. After six hits, Kudgel is launched into the swamp, and the Kongs get a Kremkoin for beating him.
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