If you like me and use CTRL-P/CTRL-N instead of arrow keys to navigate through command history, you should be disappointed on how CTRL-P works in docker terminal (the one you see after docker run, docker exec).
It turned out CTRL-P is used for what they call detaching from terminal, which I didn't know about even.
So basically when you press CTRL-P the terminal is waiting for another key press (CTRL-Q in current case). That's why CTRL-P works in strange way.
The issue was solved couple of years ago.
What you need to do is create `.docker` folder in your home directory (`mkdir ~/.docker`) and create `config.json` file there with this content:
{
"detachKeys": "ctrl-@"
}