When the bricks get down to the bottom of the screen and the alarm goes off, pause the game and exit to the main menu. Your progress will be saved and when you restart, you will have 2-3 seconds to move bricks around before you lose the game. Before that happens, pause it and exit again. You will always have a 2-3 second grace period before the game finishes you off.
It won't get you out of every jam, but it helped me enough to get the achievement!!!