There is no prohibition against giving a customer a copy of a CTR on which he, she, or the entity represented is the party on whose behalf the transaction is conducted. On the other hand, there is no requirement that you do so just because it is requested.
It's up to you.
If the request is contemporaneous with the transaction there is not a lot to discuss. If the request comes later, the mercenaries among our group would charge a fee for research and printing.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.