I agree with Lyn.  I don't think there is an idiom using either of those terms but you could make your own readily understandable simile using 'office ping-pong': 'It's ridiculous the way these papers keep being sent back and forth. It's like office ping-pong.'

Hello! I cannot find any information about idioms regarding office bureaucracy to do with either of these but I imagine that you could say "office ping-pong" because the game of ping-pong involves a little ball going back and forth in a very repetitive motion and with a very repetitive sound and "office bureaucracy" often involves information, instructions, or the shuffling of people, back and forth so it would be like a ping-pong game - hence "office ping-pong". I hope that helps!