A Binky Share definition Flag a binky is a pacifier that a baby sucks on..the rubber nipple with the plastic ring. "The baby cried when she dropped a binky on the floor".."The mother was at her wits end as the baby's binky was left at home and the baby wouldnt stop crying" A Binky by donna b August 23, 2006 0 0 Get merch Get the A Binky mug. Buy Now — $32.95 See more merch