It doesn't go into the meat, it soaks up water and becomes a slurry. The slurry is transparent, so you don't see it.
If you fry it as it is, you won't prevent spraying and sticking the same way it would have been possible with a dry flour layer. If you roll it again, you will have these effects again, plus slightly more heat buffering because of the double amount of crust. The crust will be more noticeable in taste, towards schnitzel style.
In general, you don't want it to happen at all. If you miss your timing and it happens, re-roll. But the proper way to do it is to roll each piece separately, directly before dropping it in the pan. This gives you the optimal effects from the flour with minimal change in taste.
If you want the benefits and taste of a thick crust, make a real schnitzel, including pounding the meat thin and making several alternating layers of egg and flour in the crust. Double dipping in flour is not a good approximation, it is a middle thing which doesn't approach the good parts of either technique.