To pull or take out something from in between other things, such as drawing a sword or pulling silk from a cocoon

the fine thread produced by a silkworm; textiles made of silk

to remove the skin, shell, or outer covering of something; to shuck or shell

The protective casing spun by a caterpillar or larva before it turns into a pupa; usually refers to a silkworm cocoon used for making silk.