While its origin is uncertain, it is an Americanism dating back to least the 1870s.
Thought to be formed from a combination of the Scottish bombaze, “to confuse,” (see bamboozle) + fuzzle, “to confuse,” (perhaps a blend of fuddle and fuzzy) or just as an alternate spelling of bamboozle.
EXAMPLES OF BUMFUZZLE
The complex instructions on the new gadget were enough to bumfuzzle even the most tech-savvy person.
The chef’s unconventional dish managed to bumfuzzle the judges, who couldn’t identify its ingredients.