Depending on the severity of the injury, I have killed the play once there isn't much potential for any further advancement by runners. Example:
R1, batter hits bad hop grounder to short which breaks shortstops nose (yes, this actually happened). Ball heads to the outfield as the fielders converge on the ball. As runner hits 2nd, I call time and immediately kill the play, even before the ball is retrieved by a fielder.
There could have been a further play, but it wasn't likely and given the amount of blood spurting out of the shortstop's nose I felt it was prudent to do so at that point.
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