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You can clone in HG/SS actually. You can do it through the Global Trade Station (GTS) like with DPPt. There's discussion about cloning a Pokémon with the PokéWalker, but I'm not sure if that has been 100% proven as yet. But yes, you can clone at least with the GTS.
Seeing as you've gotten an answer, I'm just going to close this. However, please use the HG/SS Help Thread for questions.
