paper string
緍 centers on a string or cord made of paper, used for tying or threading items like coins.
緍 combines 糸 (thread) with 昏, which likely contributes a phonetic element. The character specifically denotes a paper string or cord.
The thread radical 糸 beside 昏 (dusk) suggests a string made from paper, perhaps used in dim light to tie old coins together.
For ビン, imagine a paper string tied around a bin of old documents: bin -> ビン, and the string holds the papers together.