(a)
button one's lip: ağzını kapamak, sükût etmek, sesini çıkarmamak, (b) sıkıca örtmek/kapatmak, sağlamca bağlamak.
Within a short time, everything on the submarine was buttoned up. (c) başarı ile bitirmek, tamamlamak.
The report is all buttoned up.