Some people complain about it. Too slow, draggy and so on. So much so that developers even introduced the swarm ai feature to try to combat that. (Which is, by the way, raising the question why not make it pseudo real time in the first place like it was in BG 1-2... Especially if the rules of dnd5e seem to not be respected by Larian that much. But it probably is too much and late for that)

1) So the suggestion to speed up the combat is this: during a turn of a creature (or of a group of creatures in case of the swarm ai) you can press THE BUTTON to skip animation of that turn. It probably should be an arrow like ->. So it completes the turn internally and only the animation is skipped. And if they intoduce reation system with reactions, then it's skipped to the reaction window, if not, it skips completely.

2) If something unexpected happened, you can read the log OR press ANOTHER BUTTON to replay the animation of the turn (a circular arrow). All the rolls are obviously the same. It basically should work like the replay the enemies' turn button in homm 3. This button can be usefull without first one too, to replay cool moments (to make a screenshot for example).

What do you think?