The exchange could trade in rounds, e.g. permanent auction mode, where orders get matched only ever minute.
This means that those who can respond faster can get into a price level sooner. Breaking this out to minute bounds doesn't mitigate their advantage in any way shape or form.
It is hard to know what the results of a change like this would be. I suspect it would make the markets much less stable as there would be less information to make accurate prices, causing huge variances on minute long ticks.