Indeed, DCC means Direct Client to Client. Quite what the *technical* dangers of having a DCC chat open are I'm unaware, I'm sure *technically* quite a few things could be done to you. You're right in saying the DCC chat has nothing to do with the server - note how if you initiation a DCC chat and then type /quit, the DCC chat remains open and active.
There can also be security issues with DCC Server - Someone can simply /nick ChanServ (when disconnected) and, if they know your IP, they can DCC send you files when not even being connected to the server. Obviously, confirmation is still needed, but it fools a lot of people when ChanServ starts sending then "IRCOpGuide.txt"!
Someone can see your IP when you connect to them via DCC too. If you're behind a BNC (Bouncer) your real IP will still be displayed - the IP displayed is the one set in ALT+O > Connect > Local Info. The ports you are using for DCC can also be detected.
I have a couple of friends who refuse to initiate a DCC chat with anyone, even a friend.
All in all though, DCC chat is safe - I've never experienced problems with it, because I only initiation DCC chats with people who are either my friends, or have come in to an #mIRC/#Help channel saying they are having trouble DCC sending...I rarely send a DCC to someone else.
There's probably more too, and will probably be posted soon from all the people who are 10x more clever than me! <g>
Regards,