The reverberation chamber (RC) has traditionally been used for electromagnetic compatibility tests. About two decade ago, it found application in various over-the-air (OTA) tests of antennas and wireless devices. This paper gives an overview of nearly two decades of research on the RC-based OTA tests, ranging from antenna measurements and characterizations to OTA tests of both terminals and base stations. Apart from the advantages of the RC-based OTA tests, some important issues are identified.