Anything that is privileged communications between the attorney and his/her client is not subject to divlugement by the attorney. The client can testify about these communications if he/she chooses. However, the client cannot be sanctioned for refusing to testify about this.
The only exception for the attorney is if the person provides information in continuance of a crime. If this occurs, the attorney has a duty to notify the authorities.
Under the rules of civil procedure (Rule 37 in the federal rules and in most states), the deponent can only be sanctioned for literally failing to appear. If the deponent appears physically, but refuses to testify, that is not a sanctionable event. The only option is to ask the court to order him to testify, and if he refuses, to put him in jail until he does.
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