From the LA Times:
Now that the anti-laser has been built, what exactly do you do with it? Its best potential use, so far, appears to be in optical switches, used in the next generation of computers, which operate on light as well as electrons. Cao also has suggested that it could be useful in radiology, capturing images of human tissue normally too deep to see.
But as with much of science, the practical applications will be for others to figure out.
A more relateable description of the antilaser can be found at Discovery News.