Check your exim logs. If it is possible, it would probably be useful to halt exim for a little while just to stop the overflow of frozen messages. Find out why your messages cannot be delivered (via logs) and fix the problem. Restart exim. Also you should know that exim will automatically load any config changes the next time it delivers a message. The only real reason to stop it is to take the load off your box.
Hope that is accurate and that helps. :) BTW, why are these mailing lists so badly set up? Lets see...the default reply to is the user who sent the message (more of an annoyance than anything) and there is nothing in the subject to indicate what list this was posted to. They made those features available in list software for a reason.... ;) -Z-