This rare kanji has no clear standalone meaning. Treat its meaning as uncertain.
繎 combines 糸 (thread) with 然, which likely contributes a phonetic element. The exact historical development is uncertain.
The thread radical 糸 suggests something related to thread or entanglement, but the overall meaning is unclear.
For ビン, imagine tangled threads being sorted into a bin: bin -> ビン, and the thread radical 糸 hints at the tangled mess.