I looked at every Google patent with "horse" and "ice". Nothing resembled it. I searched for "horse" and "mud" and "shoe" and found some similar cleats but nothing with a handle. I should look more carefully through the horse overshoes to see if any has a pattern of three studs on top.
Were there only two? For two legged horses? How about ice-fishing shacks about 1880? You wouldn't want to blow across the ice when the wind came up. So you put these under posts at diagonally opposite corners. You lever up the corner and use the handle to position the device without taking off your mitt or mashing your hand.