Are there any Trek fanatics who can provide an example of this being referred to in the series?
Edit: By “this” I mean a reference to matter being converted to holomatter on the holodeck via a self-cleaning oven type scenario.
Engineering is the absolute worst. Not only are you perpetually on duty, but you’re expected to create new technology and increase the performance of the existing tech by 7.34% nearly every day. Plus, when crunch time comes, if you don’t have warp 14 available in the next 20 seconds, the entire ship and crew will be pulled into a gravity hole and crushed instantly. No photon torpedoes? Get up to the deflector dish and modify it with some nanobots and Saran wrap to emit some sort of kablooey pulse!
For the cushy position, show me to the Astrometrics Lab. Oooh, look, a star! Crunch time in Astrometrics is a binary system with a nebula approaching at, say, .000000008 lightyears per century.
You have a much larger problem than just the computer to worry about. Your taste in fictional women is abominable. I’d rather bone a horta than touch Janeway.
Otherwise I think jayjay nailed it.
AClockworkMelon steps into the holodeck and waits for the door to shut behind him. “Computer, pick things up where I left off with holoprogram Caretaker.” Janeway is about to strand Voyager in the Delta Quadrant before Melon appears and puts a hand on her forearm, stopping her.
'70s disco music plays in the background.
The guy who changes the nameplate on the red shirts’ door is probably the busiest.
That’s not a very hard job, albeit not a very pleasant one. You just stand around and get killed.
OK, this is just one of those Star Trek “Destroy the Computer by Presenting it With an Impossible/Illogical/Incomprehensible Situation” ploys, isn’t it?
I’m not sure. What I am sure of is that the computer is going to have a LOT of organic matter to turn into holomatter when I’m done.
I don’t know that it ever was. I was just going with the flow of the thread…I’m pretty sure that holodeck organic-molecule cleanup and maintenance isn’t even covered by the Okudas. In other words, pure fanwank.
OK, good! Because the idea of some poor ensign mopping up splooge amuses me.
You said, “fanwank.” 
Second only to redshirt for riskiness has to be the one-time specialist for the episode, such as for example xenoarcheologist, ambassador, or technical consultant. You’re safe so long as you work in your office aboard ship writing thesis papers and reviewing reports from others. If you ever get called to join the Captain on an away team, you’re probably doomed.
In every episode, the holodeck is always completely spotless when a scenario is ended (ok, except maybe for Professor Moriarty). It’s always just a featureless grid. You apparently don’t even have to leave the holodeck for the cleanup to happen. Presumably, the computer is programmed to ignore living things and any clothing they may be wearing, and there’s probably some fuzzy logic about personal effects, but bodily fluids would have a dedicated cleanup subroutine that operated in all cases.
Brilliant!
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They deal with it by having the part of their brains that would otherwise handle humour removed.
Trust me…never even JOKE about quietly assassinating a particular aspiring Austrian artist. (I wasn’t even talking about Hitler!)
Why wouldn’t it be, though. Usually the crew just enters with themselves and whatever costumes they’re wearing, if they don’t bring anything in, then there wouldn’t be anything to get rid of when the program ends.
No, actually, that’s the easiest.
BAD choice of words! 
Yeah, but making a career out of it?
Heck, just surviving thrugh one enlistment…