Possible Clues:

• JUST before the deadline
• Some people wait until this to do something (2 words)
• Eleventh hour must entail chaos!
• Just before the deadline
• Eleventh hour
• Keep meticulous, though it's hurried
• Survive with very little, just in time
• Eleventh hour? Surely it starts at 0959!
• Done at the final moment
• End of the truism