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Sometimes for these cheaper adapters, you can adjust the snugness between the lens and adapter by very slightly bending the thin metal "fins" on the interior of the adapter. I have a Fotodiox NEX-Exakta adapter, and it's been pretty snug on both sides, but I have used this technique to tighten up other adapters.
However, that's usually to fix general looseness, and not rotational play. The Exakta lens-side mount has a little post and the adapter should have a hook that latches onto that post- is that what's loose at the moment?