1. Mount & install the app from the DMG.
2. On a windows machine or in a VM or Crossover (it's on the site too), run the included keygen.
3. It will give you a License ID (That's the string that looks like Lxxxx-xxx), and when you run Mathematica for the first time, it will give you a MathID, a long sequence of characters. Input that in to the keygen and press generate, which will make a password. Put that in, and it will license and then you are SET.
No need to block with Little Snitch. Also, if you already have a working Mathematica 7 install, you can just install over it and skip the keygen.
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TO MAC USERS: If RAR password doesn't work, use this archive program:
RAR Expander 0.8.5 Beta 4 and extract password protected files without error.