When I was running a Paranoia oneshot at a convention, I got bribed with Girl Scout cookies. Miraculously, Friend Computer found the guy an extra clone...
Talk with your players if someone's unhappy. Don't be afraid to go meta to talk about things that are causing problems, including for yourself. Seriously, communication can solve so many problems. I was able to stop a player from needing to leave the game by cutting a subplot that was really upsetting him, and was able to reassure another player twice about some things that were triggering them.
This entire storyline is adorable.