The song is about a woman's encounter with a man (with brown eyes) to whom she is deeply attracted, but is hesitant to become involved with him for fear that he is "just another liar."
This song could have been good, if it weren't for the odd production mixing chosen. The drums, especially the high hat, are front and center and the singing is muffled. It would have sounded so awesome if it were for a normal mix. Mick's drumming is always good, but I'd like to hear the rest of the song.
The meaning? It's pretty plain to me - can I trust you? Can I trust another lover again?