An old chipped vase is an item that players may find whilst cleaning Uncleaned finds in the Varrock Museum (after completing The Dig Site).
It has no use, except in the Varrock Museum miniquest. It is a common find even then, and of little value to the archaeologists there. Because it has a symbol to Saradomin, it is believed to be from the ruins of Saranthium as opposed to Senntisten, which was earlier and of Zarosian religion. You need to put it in the storage crate as it has no use for your reward.