An Indicator is held in the Left hand, because it is DESIGNED to be held in the Left hand. If you try to hold it in your Right hand, you can't turn all the wheels without using your Left had. But if you hold it in your Left hand, you have a finger & thumb lined up on each wheel.
Now, if you choose to use one, use it as a Back-up to your brain, and not the main count keeper. So, after each pitch, you indicate / announce the count, then you take a quick glance at your Indicator while it is up in the air, and make sure it matches the count in your head.
Try to avoid looking down at your Indicator...Why, because stuff is happening out on the field, not in your hand. There is nothing like the feeling of having your head buried down in your Indicator, and the Pitcher picks off a runner (while you're working a one man game).