Possible Clues:

• Private dinner setting?
• Part of the "M*A*S*H" set
• Military-camp eatery
• Army dining area, or a punny description of where to find 16-, 24-, 36-, and 49-Across
• Chaos leads to huge angry brawl on the last line in dining facility
• Forces people to take food here
• Private dining area?
• Where grunts get grub
• Private dining area
• Soldier's lunchroom