To wrap in or cover with a scarf; to dress or clothe with a scarf.
From be- (to cover or clothe with) combined with scarf; following the productive Middle English pattern of forming verbs from nouns by adding the be- prefix.
This word is basically dead, but it represents a whole class of 'be-' verbs meaning to clothe or drape (becloak, bedizen), which shows how obsessed Middle English was with describing elaborate dressing.
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