Q: When I trash, destroy, discard, exchange, or recycle one half of a Keeper/Creeper attached combo do they stay together?

A: You may notice that Attaching Creepers are usually something which modifies the qualities of the Keeper itself. The idea is that they become as inseparable as one object. You don’t have a Doctor and a Brain Parasite, you have a Sick Doctor; you don’t have a Poet and Insanity and Metamorphosis, you have an Insane Mutated Poet; you don’t have a Holodeck and a Malfunction, you have a Malfunctioning Holodeck; you don’t have a Bacteria and Liver and Heart and Thyroid, you have one giant Liver-Heart-Thyroid Infection (yipes!); you don’t have Spock and the Mirror Universe, you have Mirror Universe Spock, and so on, and so on…

That’s the whole point of the “stays together until discarded” wording. Anything that you could do to the Keeper will also happen to the Creeper which is attached to it, and vice versa. In Star Fluxx, when you use the Laser Sword or Laser Pistol to attack a Keeper with a Creeper attached, you are attacking the afflicted Keeper, and the whole point is that it’s a way to get rid of the Creeper.

In the Star Trek Fluxxes, the Phaser is similar, but the language states that you are targeting the Creeper (because the Trek Fluxxes include non-attaching Creepers as well, it makes the Phaser more useful against ALL Creepers, not just attaching ones). When you destroy the Creeper, then if it is attached to a Keeper, the Keeper will be destroyed too (it’s not possible to shoot just the Mirror Universe aspect of Mirror Universe Spock, you have to shoot the dude as a whole…)

You can Trash a Keeper, Exchange Keepers, or discard it because of a Keeper Limit. All totally valid ways to rid yourself of annoying attached Creepers! (If you Trash Something to discard the Creeper, the Keeper it’s attached to will also be trashed, of course.)

You can even Recycle it (bonus!) and the attached Creeper will go into the discard pile with the Keeper. “Oh, this thing is messed up and useless to me now. In fact, it’s a hindrance!… I don’t want it anymore. But hey! At least I can recycle it!”

In fact, if you’re trying to acquire a certain Creeper to meet a Goal, you can Steal a Keeper (or Steal Something), and you’ll get the whole Keeper/Creeper combo. see: If a Goal requires a Keeper and Attaching Creeper…

Your Hologram or Holodeck is not duplicating just a Robot, it’s duplicating an Evil Robot… for better or for worse, as the case may be! see: If the Holographic Projector/Holodeck is used to imitate a Keeper with a Creeper attached…

There are some exceptions, and they’re usually very explicitly worded to let you know they are exceptions. see: …Are there exceptions to this rule?

Or they follow directly from qualities of the Creeper (i.e. things which would take the Keeper up into someone’s hand, but it has a Creeper attached, will result in the Creeper being “spat out” in front of the person who took the combo up into their hand.
see: If someone plays Beam Us Up, and one player had a being/crew member with a Creeper attached…
see: What happens if I use Zap a Card on a Creeper/Keeper combo?