To me, chaotic neutral characters are disorganized and generally follow their minds instead of their hearts (chaotic good/evil) or the law (lawful). They are thinkers, but they are iusually prone to mood swings, erratic behavior, or odd idiosyncrasies.

Often, Chaotic Neutral people follow rather than lead, as they either lack the conviction to make a good leader or lack the desire or drive to be one at all.