I'm with ACEDOUT...Twilight Struggle is awesome, but lack of multitasking is ridiculous in 2016. Even worse, exiting the game first and then coming back and loading the save always seems like a roll of the dice as to where you were. Maybe there is some sort of playbook rule on where to resume, but you can't save/restore and expect to be back at the same moment.
BTW, the game thinks often for extended periods for its action rounds - up to several minutes on an iPad Pro. I can't imagine what it's like on a slower iPad.