D'you know how eyes are the window to the soul or whatever? Well, I used to try to 'read' people by making eye contact, and most of the time it actually works. If you become good enough at it, you can often tell when a person's lying, or when they're nervous, or sad, or happy, or interested, or excited, etc.
I used to fancy this lovely German girl who was, well, basically what the song describes. The eyes, the smile, the strength, the secrecy, the bit about 'pouring herself a strong one'...
That's what I find fascinating about music, and how you can sort of incorporate lyrics to your own life, as if the songwriters had penned them with your own little world in mind.
I also think the songs you really like at a certain time are reflect where you are in life, especially regarding love, of course. There was a time that I was obsessed with Beatles' 'Here, There and Everywhere', because it was a more, er, idealistic, if you will, type of love: attached, beautiful, codependant ('I want her everywhere...').
'Lyin' Eyes', while not describing love itself, describes a more realistic person. Paradoxically enough, those qualities that us men often tend to find risky or threatening about girls (such as the ability to be in control, cheat, etc.), are also the ones that could be the most endearing of them all. I was never able to 'crack' the code of what the German girl was about, and that made me want her even more. Just so you know, it didn't have a happy ending: she never liked me and our friendship was ruined, but whatever, life goes on
That was the long answer. Short one: I think it's a perfectly crafted song, both lyrically and musically. I love the harmonies, the way it tells the story, the way music and words connect to, and interact with, each other. I think the 'core' of it is so beuatifully simple and direct that there's no way around it, but at the same time it's got so many levels that you can always find (or create) different meanings between the lines. The perfect amalgamation of a wonderful poem and a wonderful composition. Very, very few musical pieces ever get to do that (usually lyrics are great but music not so much or viceversa).