Jungle Hijinxs
No rhyme, no alliteration, no pun... and I believe the spelling is incorrect, too! (Many references suggest 'hijinks' — and a 'k' would be more DK-riffic, anyway!)
Why on earth did Rare choose this name for DK's home turf?
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It has been mentioned here that this level used to be called 'Jungle Japes' prior to the game's release — a name DK64 fans will recognise.
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Further use of 'Jungle Japes' as the level name, from Mexican 'Club Nintendo' magazine:
This long-abandoned name is a much more catchy and fitting one, I think.
Why do you think 'Jungle Hijinxs' was chosen for the name, rather than Jungle Japes?