Carl has a Motorola Moto 360 watch. Leo says it's the best smartwatch out there to date. But Carl says it won't automatically turn on when he puts his watch up to read it. Leo says to turn on "ambient display" in the settings. The Moto 360 will still have enough battery life to last throughout the day.
Some third party watch faces will allow him to adjust the watch awake time. But the watch should recognize the tilt of his wrist. If it's not, then reset the watch. Leo's done that a few times. Intellicom has great 3rd party watch faces.