Do any denominations believe in reincarnation?

In discussion with others about God's will in situations that don't have any answers (i.e. - difficult prolonged situations) I hear a lot of (as also mentioned in this question and answer) that God is "teaching us lessons and preparing us for eternity". However, when I put this together with the fact that humans are in all different stages of learning lessons (some almost barely getting by - to some here on vacation on this earth), sayings like "she is an old soul" and the fact that some people don't need to learn certain lessons, they just "have it" from birth, there is a chance after death for atonement - I logically, instinctively and intuitively get the feeling that souls are reincarnated and purified to be more like the light of Christ, through each human experience they occupy. I have heard there are other religions that believe this but independently of them, are there any Chrisitian denominations that also believe this? Why or why not is it valid?