you can use the console and "tcpdump" which I am sure is installed by deafult. the only problem i see is a novice isn't going to be able to understand most of the output. If you feel you can understand it I suggest a "tcpdump | grep eth0" and watch for the packets that causing the dialing and the ip of the machine will be in the same line. A "ipchains -M -L" or a "netstat -M" from the console will also tell you once the link is up what ip masqs are going on, this may be a little easier to distinguish what internal machine is making contact out to the net.
Try both But if you are unfamiliar with packets then I suggest the latter as it will just state the internal ip/ destination and ports used and be far easier to interpret.
Once I figure out this configuring the web based part of e-smith I may make a page that will have an ongoing list of masqs and also a tail of the messages log as I myself have put in a firewall and I am one of those that love to watch the hits on the firewall to see what people are up to. right now I have it logging to tty8 which is cntrl-alt-F8 but If I have time I will change this too the web part so i can remotely monitor it.
Hope this helps