切り裂き is about as unadorned as Japanese verbs get: 切る ("to cut") and 裂く ("to tear") are both taught in the first year of any beginner's textbook, stacked here with zero grammatical decoration into a bare compound noun. There's no kanji flourish, no classical vocabulary, nothing that needs a footnote — which is exactly the point. Every other breathing style dresses its technique names in natural imagery (Water Breathing's 水面斬り, "Water Surface Slash"; Flame Breathing's 不知火, "Unknowing Fire") because those styles were composed, over generations, by people trained to think of swordsmanship as an art. Inosuke's Second Fang just describes what happens to the thing he's hitting, in the two most basic verbs available, because he's not composing anything — he's narrating his own attack to himself, mid-swing, in a mountain in his own kind of Japanese.
VIZ's translation makes an interesting, low-key choice here: "SLICE 'N' DICE" — a rhyming, almost jokey English idiom — for a Japanese phrase with no such wordplay at all. It's a defensible read (Inosuke's whole voice is over-the-top and a little silly even at his most violent), but it does add a register the original doesn't reach for. That choice becomes a bigger deal later: VIZ reuses "SLICE 'N' DICE" verbatim, word for word, when the visually and phonetically similar Fourth Fang (切細裂き, "Cut-to-Shreds Tear") shows up in Volumes 18 and 23 — collapsing two distinct Japanese move names into one identical English catchphrase, so an English-only reader has no way to tell Second Fang and Fourth Fang apart by name alone. See this hub's Fourth Fang entry for the full comparison.
Even this technique's own reveal panel wasn't safe from the automated OCR pass behind this corpus: the bubble reading 「剣丞さん！！」 next to VIZ's "SLICE 'N' DICE" isn't real dialogue at all — the correction log flags it as a straight-up hallucination, Mokuro's OCR engine inventing a person named "Kenjou-san" out of the stylized brushwork of 切り裂き！！！. There is no Kenjou-san in Demon Slayer. There's just a jagged font an automated reader couldn't parse.