The term 'run in a stocking' can be solved by the six-letter word 'LADDER'. A LADDER is a device used for climbing up and down, typically consisting of two long side pieces joined at regular intervals by crosspieces. It is commonly used to access high places, such as the roof of a house or a tree. Ladders are also used in stockings, which are garments that cover the legs and feet, to help keep them from slipping down.