Can you save your progress in the Grognak minigame?
The Fallout 4 minigames can be long enough that you might not want to complete them in one sitting - can you 'save' your progress in them some how?
In perticular there is a holotype game with Groknak which seems to be long.
41 Answer
The game saves your progress automatically when you quit.
To be certain all your progress is saved correctly, be sure your character is located on the overworld (the map where you can move your character). Once you boot up the holotape once again, you'll have the option to continue your game:
Your character will be located outside of the tavern, where you started.