For the Andromeda war, I'm not going to be quite as Draconian about timeouts

Yes, I think these situations could be abused, but I'm going to try a softer approach.
My general approach is that people should give others the time they specifically request for. That means that those that need extra time must make sure to go through the right channels to get the extra time.
So here is how it works: If you need time off, do the following:
1) Send messages to each player you are fighting battles with for the clan war. Tell them how long you need.
2) Email or have your clan leader email
clanwar@gmail.com about the length of time you will need.
If these two timeout request rules are followed, and the opponents respect the message, there will be no problems. If the request rules aren't followed, I cannot do anything about those games, and the timeout stands. If they are followed, and the opponent times it out anyways, I reserve the right to restart the game and give bad karma to the offender

, so don't do it!
For these rules to work, everyone needs to know about them. Make sure all your clan mates understand.