QUOTE(Wazoo @ Jun 18 2007, 06:32 PM)

and just how does a mail server actually work with no IP address? Connections have to be made somehow, and if the Internet is use, there's an IP address involved.
Not really having a clue as to what you might actually mean by a "no-ip mail server" .. it's pretty hard to say.
In general, I'd start with "it sounds a bit dangerous" ....
Google just turned up this: No-IP - Dynamic DNS, Static DNS for Your Dynamic IP http:/ /www.no-ip.com/
In that case, my answer is probably accurate, however, it is still dangerous as Wazoo mentions. Also, unless you are using a smarthost from your ISP for outgoing messages, you are likely to get a large number of rejected emails using a dynamic IP for a mail server. That is one of the first lookups on most mail servers... no static ip = no acceptance.