Five weeks is crazy, but I'm relieved to hear that long mail times happen to other people but the test does eventually show up. I mailed two tests at the same time, but only one has been received by Ancestry (last Thursday). It's starting to unnerve me even though it's "only" been an extra week. :(
Meanwhile, the DNA site is down for maintenance as I type. Fingers crossed that it's the kind of maintenance that leads to new goodies!