If a market did as you suggested, then there would simply be no orders for 0.99999 seconds and then a huge flood of orders at 0.000001 seconds before execution happens.
There are a couple of large firms that make 5-6 figures a day from arbitraging the closing cross. I'm sure they'd love to run their strategies all day; whether they would make more money than HFTs make now is anybody's guess.
It is an interesting thought experiment though.. quantize time as well as price. You could exaggerate to one trade per day for the thought experiment. Now this would be on human scale so there is a lot of information that would build up (same when markets are closed). Between that and no time quantization like now, there are probably a few different positions (like electron orbitals) where positives and negatives vary quite a bit. Maybe one of them is better than the current system. Maybe not.
What problem is this solving?
Seems like a lot of faff to get people worse prices.