Dung is so hard to explain to another person, but once you get it, it seems so simple.
You focus on maxing your prestige (making sure your prestige is the same as the amount of floors you can do). Once you have all floors that you can do checked off, you reset (ONLY when you have done all the floors on your list). Repeat.
I suggest looking at RSWiki or something to get a basic idea about how the puzzles work.
AT ALL TIMES listen to the keyer. Don't just follow people around mindlessly, or complain when you have 1 food and are asked to go do a puzzle by yourself. Working together as well as working separate are what makes the Dung go by so much faster.
When you are in a good team, with a proper keyer, and you know what to do, your floors will rarely be over 30 minutes long.
Don't worry so much about dying, unless it gets to a ridiculous number like 4+ deaths. But, even if you get there, don't complain. It can happen to anyone, and the main goal is to have a FAST floor so you get more floors done in a small amount of time!
Good luck.