Is it UCCE or UCCX?
Is there a chance that the campaign is working in predictive mode? Because in predictive mode, every agent will trigger the dialer to dial X numbers, and the one who answers will get connected to the agent, the rest will hung up (unless you directed them to some other script).
Tell you the truth, if that is predictive mode as explained, I have no idea how it should appear in Cisco Finesse, as I'm using a custom agent desktop application.