The vase appears to be a variant of the askos, a bag-shaped flask with one spout and a handle over the top. While askoi often take the form of birds, the animal here appears to be a quadruped and is equipped with two spouts.
Myres, John L. 1914. Handbook of the Cesnola Collection of Antiquities from Cyprus. no. 532, New York: The Metropolitan Museum of Art.