I am going to assume that since the clan war ends around 2 or 3 pm est monday and last monday it started at like 8pm , so i assume there is like a 5 hour break between clan wars , just a thought , no confirmation
The first one will likely have a day or two break as they work out and fix some of the issues they may have had. Typically the delay between wars won't be more than 1 day and will often only be a few hours. This is talked ab out in the article below.
I read this in the article, makes me think you may be right Life...."Every two weeks you’ll get matched up with a new batch of seven other rival Clans." A break from the wars would certainly be nice for the players.
MAN!!! back to back? Some of us have families and jobs we have to take care of! LoL Steam just had a big sale, and how are we supposed to find the time to play our new games? A week in between would really be nice.