I'm in the meeting room, just put the bug in the vase when the guy says to get to the ceiling. After that, no matter what I do, I get caught. I have tried getting to the pipe to climb up but can't seem to be fast enough. Am I missing something?

When you winch down to the table, don't go all the way down and release. Get close to the table, bug it and then immediately winch back up to the ceiling and wait for it to finish. Once they all leave you can winch back down and head out the door, then left to a rappel point.