Once you finish a game, you get a report of various statistics about your performance. If you enable the "Internet" option in the Settings, the game will also report your scores to the central server and tell you how well you did compared to other players...
according to the Lexcavator Twitter account. According to the developer's blog, the leaderboard is completely anonymous, so you don't have to worry about generating a login or a password or recovering a password when you've forgotten it. It's simple and done the right way, just like everything else about the game.
This is the kind of game that you will find yourself wanting to play repeatedly. There is also a Quest Mode which consists of a series of untimed challenges (like, find four 4-letter words, all in lines, without finding any other words).
You can get the game at lexcavator.com. It is being distributed on a pay-what-you-want model. I initially downloaded it for free, but I'm going to go back and pay for a copy to support the developer.