No rule that I can find
The book is to remain at the table at all times (2-11-11), which is probably why there is no penalty referenced in the rules. If the scorers also remain at the table and keep control of the book, the coach cannot take it.
But that said, if the coach at the varsity level takes the official book into the locker room with him, he is knowingly violating 2-11-11. I would consider it unsportsmanlike conduct and penalize accordingly.
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