Yeah, twice with doing quests for Marcus. The first time you still get a 3 minute timer. The same is true for the other two times, as well.
I completed the Armory before turning in the power core quest with Marcus. When I finished the power cores he offered me a new quest to kill more lancers. Easy to do if you do the Circle of Duty line. Then after turning that quest in he offered me the opportunity to run through the Armory again. The quest says "Same conditions" so I would assume the same timer, but it gives a warning that at the end of the timer Marcus will remove you from the cache, by "Killing you".