During the the late Tudor period, (c. 1615 onward), a scogger was what we today would probably call an arm warmer or a leg warmer. While ornate sleeves were common among the upper classes, and were sometimes detachable, 'scogger' appears to be a lower-class term, used for knitted stockings and gaiters used to warm the arms and legs or protect them from the hazards of the workplace. There are references to these being specifically scraps of old stockings repurposed, although examples that appear to be knitted just for this purpose have been found.
By late 1681 another term, 'hogger' was in use in Northern UK and Scotland to refer specifically to a gaiter, a footless stocking used to cover the ankle of a boot to keep out ice or as protection when riding. During this time the term 'scogger' also remained in use.
'Scogger' was also the most commonly used in Northern England, and remained in use until the late 1800s. It has since slipped into disuse, although it is still used by costumers and historical-minded knitters.