pucker up lips in smile, press
抿 centers on a controlled, light pressing action, especially with the lips: puckering them in a smile or gently pressing something together.
抿 combines 扌 (hand) with 民, which likely contributes the sound. The hand component suggests a manual pressing or smoothing action.
The hand 扌 beside 民 looks like a hand gently pressing or smoothing something, like puckering lips into a smile.
For ビン, imagine pressing a bin lid shut with your hand: bin -> ビン, and your hand presses it closed.