Used to emphasize a complete lack of contact or sightings, often exaggerating to make a point. Since the storm, we've not seen hide nor hair of the neighbors.
Pro Tip 2/3
Informal
It's casual language, suitable for conversations but not formal writing or speeches. We've not seen hide nor hair of Jenny at any of the recent gatherings.
Pro Tip 3/3
Absence Noted
Implies that the absence of the person or thing is noticeable and potentially concerning. He's usually so punctual, but today we've not seen hide nor hair of him.