The Tennessee Court of Appeals has ruled that deposition videotaping expenses (and the cost of synchronizing the deposition with the written transcript) are not recoverable as discretionary costs under Rule 54.04 of the Tennessee Rules of Civil Procedure.
The case is Parker v. Brennan, No. M2005-01376-COA-R3-CV (April 19, 2006).
The Rule should probably be amended to allow the successful party to recover the lesser of the court reporter charge or the videographer charge. Why? Because you do not have to use a court reporter to capture testimony at a deposition; the video counts as the official transcript. Therefore, a party that elects not to have a court reporter present and to rely on the video transcript should be able to recover the cost of the videographer.