A protective piece of armor that covers the cheek, or a strap on a bridle that runs along a horse's cheek.
From 'cheek' + 'piece' (a part or section). Both elements are from Old English origins. 'Cheekpiece' is a compound noun that creates a new word for something that's physically associated with the cheek.
Medieval knights and horses both had cheekpieces—knights wore them as part of their helmets for protection, and horses wore them as part of bridles for control—showing how the same word applies across very different contexts based on location!
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