We still have to be careful with compliements.
I agree on all that dictionary stuff but you know: When comunicating something, what matters is not what you say, but what the other person understands.
If you compliement her on her blue eyes, unless you say something like "Congrats to your parents..." She's automatically going to think "He's interested in me"..
But anyways, it all depends on the kind of game you're running. If you're running a natural, straight forward game, showing your interest is not that much of a big deal, but if you're not, then compliementing her can cause you to bend your own frame a little and show your interest too soon...
Regardless of showing interest too soon, if you have a strong game and frame, compliementing her tends not to matter much.
You can always experiment with that..