I dont see how this would be much of an improvement to be honest.
A TCO/TRC/TRM/Dispatcher or whatever you like to call them, if they are good at their job, will be recording times accurately with pen and paper anyway.
If they arent doing so then having a hand held device to do it isnt going to make any difference to them.
What would be a better investment by companies is to actually pay these staff an appopriate wage so that people of the corrrect calibre can be attracted to the role and retained for an extended period of time.
What I would like most as a TCO/TRM?Dispatcher)depending on whichever airline im dealing with) is a proper winter jacket, and radio that works properly and colleagues that know what the word communicate means!!