Only until you start thinking about questions regarding the soul (or spirit; I use the terms interchangeably), at which point it becomes messy.
Does the original retain the soul meaning the clone has none? Does the soul also replicate such that there are two? Does the soul split in half with part going to each? What happens when either the original or the clone dies? Can either one be resurrected or even Speak-With-Deaded? Etc.
To me it's obvious that the clone would share the original's memories, experiences, etc. up to the point of cloning*. After that, each creates its own memories etc. independently, including perhaps memories of each other. They also advance in levels independently, and so forth.
* - there's a very valid game-mechanical reason for this: as in the fiction a character's levels are comprised of experience, learning, training, and memories, if the clone is to be the same class and level as the original (which is usually the baseline assumption) then by default it has to retain the original's memories etc.