I've used mobile devices to review still imagery and motion footage and they're fine for a group that wants to be involved, though I usually find them laying around the set (interior or exterior) after about an hour.
You probably don't want to go this way, but unless you have a DIT on set then checking footage is vital.
I don't know what you shoot, or what you expect, but from experience I've learned to always have at minimum a laptop that has a calibration in it that will closely match my editorial timeline and viewer.
First thing we do after setup and prelight is to shoot a test, usually panning into areas that are slightly off set, drop them into resolve (which has a beautiful color engine) and give it a quick check.
I know on a lot of projects time is of the essence and there is not enough of it to run through a ten minute take, so we watch 4 seconds, move the cursor across, then check 4 seconds so on and so on.
Our minimum setup has a good screen and the laptop mounts on a medium sized tripod with a small shotbag for stability. If there is time and space we also run a medium sized broadcast field monitor as that is the best way to check, but sometimes the broadcast monitor is not an option.
To save battery power of the computer all our laotops have two ssd 1 terabyte drives so the moment we check the footage we turn them off if they isn't additional power available. SSDs start so fast, very little time is lost and battery power is saved.
We also set our on camera evf's to match as closely as possible to the computer.
I can't tell you the number of times we've caught something on the computer with just a few moments of review and nothing is worse than a beautiful take and all of a sudden something bright enters the scene and blows the detail.
But everyone works differently, though ask any DP how many times the DIT comes out of his tent and say to the DP, we've got a problem with __________.
I'm not saying a tablet or phone won't suffice, but the closer I get to the system I'm working in, the easier it is to grade later and sometimes can save a shot, maybe a whole scene.