if you hit start and go into the menu, there's a manual save option, so you won't have to restart all the way at the beginning of a mission. i'd suggest doing this anyway, just to make sure you can recover if you get hit by the wireless/freezing bug.
Watched Giant Bomb's X-COM Quick Play and it put me in the mood to play a tactical strategy game. Then I remembered I had never finished the campaign in this game. Two hours later and man this game is so good. I don't know if it's just the-right-game-at the-right-time thing or what but right now I feel like this game was criminally underrated.
Also this game was supposed to come out on iOS but after searching I don't think it ever did. I wonder why?