You don't have a lot within systems like these: much of what you do can be monitored.
The program Deriver itself certainly can 'call home' . It contains a web browser which can open web pages in response to requests started by your clicks on links. And Deriver is also capable of sending requests to web servers even when you are not trying to open web pages. A typical useful application of this is in a class setting when students are trying to submit the results of a quiz or exam; Deriver can send these results to a database for the students. One assurance about Deriver and privacy: it will never call home invisibly-- it will tell you what information it has sent and why.
Of course, once you start using networked computers you have no privacy anyway (to paraphrase Scott McNealy, of Sun, 'you have no privacy, get over it').