means a length of fabric worn around the neck, head, or shoulders for warmth, protection, or style.

from From Old North French 'escarpe' meaning a sash or sling — and behind that, possibly the Latin 'scirpea,' a basket or wrapping. Originally the word for a soldier's or pilgrim's sling worn across the body, it slid down the neck and softened into fashion. The food sense ('to scarf down') is a separate word, probably a variant of dialectal 'scoff,' to eat greedily — same spelling, different family entirely.