Right -- I found in the middle of the night, it's more like 1 in 3; other times 1 in 10.
I have a different problem than you: I don't get mail on Compuserve anymore, except a ton a spam and every once in a while an old acquaintance or subscription that still goes there. So I download my Compuserve mail just to keep the box clear, so that mail doesn't get rejected when it's sent there.
Thus, the main issue for me is not the delay in getting mail, but the use of system resources. When my client (Outlook Express) is hanging trying to connect to Compuserve, my Internet connection slows down. I get mail every minute (since I frequently have e-mail exchanges with business colleagues that happen in almost real-time). Thus, my system's in an almost-continual state of trying to connect to Compuserve.
Anyway, I digress. Regarding the problem itself, I haven't found any solution. I've been discussing it in the Classic Compuserve Support forum (community dot compuserve dot com/n/pfx/forum.aspx?tsn=1&nav=messages&webtag=ws-cssoftware&tid=43796). There is another person there (also named Neil) who's having the exact same problem as us. Interesting thing: we're all using WRT54G's.
Though I've had my system set up to get Compuserve POP3 mail for years, my problems only started when I switched routers to the WRT54G (v. 5). The other Neil was using the WRT54G before, but it was v. 3 of the router; when he "upgraded" to version 6, the problem started happening.
Gary there (who I believe you spoke with in a different forum) referred me to an article (www dot tomsnetworking dot com/2006/06/08/linksys_wrt54g_v5_really_is_a_lousy_router/) which says that the v. 5 router (and later, presumably) is a piece of crap. When Gary ran tests against the Compuserve POP3 server using a WRT54G v. 4, he had no problems.
So am I correct in presuming that you're using v. 5 or later of the WRT54G?
Neil