Does anyone have an opinion on putting a timer onto an electric hot water heater (brand new A O Smith - 50 gallons)?

I'm thinking it may be a help in our situation with a 2nd home which my wife is at Monday evening through Friday morning. She is normally not there during weekends and really only needs hot water Tuesday through Friday mornings for a shower before work.

While it seems like a timer to shut it off for most of the week would be helpful there was one site that suggested that they typically only use 1.3 hours of electric in a 24 hour period.