Well it depends. If i was raising from like fetal stage (like a clone grown in a test tube) as a child, yeh cause it'd essentially be my child, and given it had a different up bringing etc it'd be different in terms of personality.
Whereas if I were say duplicating myself, Itd be confusing, and I guess I'd have to get like a 2 tattooed on it or something as proof. I have thought about how sex with myself would be a few times >.<