It sounds pretty good - if you want a small system - it probably is the best sound available now for a mini system.
However, if space is no concern, you can get better sound by going with big separates.
While I haven't listened to the classik, I know that Linn products are highly respected amongst hifi enthusiasts. What HIfi? said that the classik had 'true separates perfomance'. If this is the case, it sounds like a compact, good value system since you won't have to buy a tuner or stereo interconnect.
If you wanted to compare the classik to similarly priced separates, look at the Arcam CD73T with the Roksan Kandy MkIII. Also if you want an even cheaper system look at the denon DM31 with a good small subwoofer, I got one for my girlfriend and found the sound quite nice (didn't have a sub though).
I had the opportunity to hear it at length at a local hifi store .It is certainly worth every penny.Select quality book self speakers and you have a system that will compete and perform better than most seperates will ever do for more than twice what is spent on the Linn.