Since no one has bitten yet, let me offer a broad overivew in the hopes that someone more knowledgeable will fill in the details.
We (as do all mammals) have genes that encode for specific protiens which every cell uses to tell the immune system: Don’t attack me, I’m one of you! As long as you didn’t tinker with one of those genes, you’d be OK. There are quite a number of genes invovled in that process, though, so you’d have to be careful. But you should be able to add a gene to your cloned liver so that it, say, glows in the dark, but your immune system will still think it’s just regular ol’ you.