I read this SF novelette (I think, or maybe longish short story ?) about 20 years ago, in a collection that might have been older.
it is rather complex. The very well preserved corpse of a homo sapiens sapiens (not Neanderthal) but tens of thousands years old, was found in an acidic bog somewhere in western Europe (maybe France).
Some scientist is trying a really crazy experiment. Not only was he able to recover the corpse's DNA but he believes that his (yes, the corpse was male) memories are still preserved in the chemistry of his brain. Well preserved indeed !
So first he clones his body. Second, he transfers into it the memories of a live man, whose body is crippled and who has agreed to have his memories transferred into the cloned body, with the promise he'll be allowed to keep that body at the end of the experiment. He does wake up in the cloned body and enjoys it, because it is so much better than his old one. But the old body died during the transfer, and his memories are far from perfect.
Not quite clear why that was done. The scientist probably wanted to be able to talk to the clone, so he needed a contemporary man's mind in the clone. Because the most important part of the experiment was still to come.
The scientists now begins to transfer the memories of the corpse, in addition, into the brain of the clone. When only a few memories are transferred, the contemporary mind keeps control and is more or less able to describe the new impressions he is getting, however unusual they appear to him (IIRC smell is important and hard to interpret to a contemporary mind).
But when more memories from the corpse are transferred, the old "homo sapiens sapiens" takes over. I'm not sure how it ends, but I believe, not too well for the scientist...