One peculiarity that was mentioned in the discussion on this on the TO Board is that at least on certain railroads one has to stop to copy a restriction order but not so for a release order!!! Now that befuddles me, but on some reflection it sort of makes sense.
It does make sense in that you want to make sure the engineer absolutely has everything correct and is paying full attention when copying down a new restriction, because the potential harm in messing that up is very high. On the other hand, releasing a restriction is less important because the potential downside of screwing that up is adhering to a restriction that isn't there (meaning, maybe you go too slow through an area; worst case there is you just wind up a little late, but no safety is jeopardized).
The stop to copy rule also generally only applies if there is a single person in the cab. If there is a second engineer, or if a conductor happens to be up there, the person not at the controls can copy the restriction on the fly because his/her eyes don't need to be on the railroad.
As for the whole using radio while moving deal, it happens all the time, even with a single man in the cab. How fast a train is going really has nothing to do with it. Radios are different from cell phones in that you don't really lose as much awareness (really, the biggest danger with cell phones is that putting the phone next to your ear blocks out a lot of ambient noise from entering through that ear, and your brain subconsciously depends on that in maintaining situational awareness; it has nothing to do with not having a hand free, or with talking to someone). It's no worse than talking to a person next to you.
It's actually quite amazing when trains have to operate through areas with Form B restrictions (maintenance of way), where the engineer has to call the foreman in charge of the work gang, on the fly, as he's approaching their work limits, get the specific clearance from said foreman to operate through the work zone, read back said clearance, word for word, while following signals, blowing horns at crossings, etc., sometimes with radio transmissions of poor quality. But it happens, all over the place, thousands of times every day, without incident.
If an engineer can't talk on the radio and operate the train at the same time, he shouldn't be an engineer.