Equipped with gutters; marked or formed with grooves or channels; or informally, extremely drunk or in very poor condition.
Past participle of 'gutter' used as a verb. The slang meaning (extremely drunk) likely emerged in British English in the 20th century, referencing someone metaphorically 'in the gutter' from intoxication.
Slang meanings often emerge from metaphor—when someone is 'guttered' (drunk), we're imagining them literally lying in the street gutter, which became a quick way to describe extreme intoxication in British and Australian English.
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