Society Greaves Armorsmith tells you, "You must be at least a Adept within the Society to trade me an Armor Writ for my key to this chest, sorry."
Society Greaves Armorsmith tells you, "If you bring me an Armor Writ from the Quartermaster, I can give you a key for my chest."
Society Greaves Armorsmith tells you, "You can only receive one key in exchange for an Armor Writ every day, so choose wisely."