Yes, you can!
Once you have played a clip in a mission this will be unlocked. You can then go back to that mission later on and tap on the 'info/i' button to see a summary of each clip in the mission which has already been played. You will also be able to see a 'play' button next to these summaries, and tapping on this will play the clip again.
Please Note: The 'Listen Again' functionality on ZombieLink is not currently available, but we will be bringing this back in the near future. Last updated 19/11/15