How dependability is to be assessed and ensured during Web Service operation and how unbiased and trusted mechanisms supporting this are to be developed are still open issues. This paper addresses the following questions: who should publish dependability parameters, in which way they should be distributed, and who (and how) should monitor these parameters in the global Service-Oriented Architecture. We discuss several techniques of on-line dependability monitoring and measurement, which extend the UDDI (Universal Description, Discovery and Integration) Business Registry with dependability metadata publishing and monitoring capabilities. The paper also proposes UDDI add-ons and light-weight user-side mechanisms for public operational and exceptional reporting.