Obviously...

It's a security feature. They don't actually do anything. But nobody who's not supposed to sit there knows that. When you touch both of them to see what they do, you're instantly disintegrated.

For those wondering:

Salt & peppers shakers

Hostile architecture, to prevent people from sleeping on the desk...

It’s an E‑Meter for Scientology

You gotta have a place to put your orbs so you can ponder them as needed.

It's a metal which their physiology requires, but is low in their food supply, so they lick the metal orbs once in a while.

track balls, she has a dedicated holo emitter for playing katamari

Nuclear cores. Pick them up and slam them together for an instant atomic explosion.

Also ensures politicians don't stay in office too long....

Since it's Kai Winn? Torture device on loan from Delores Umbridge. The activation phrase is set to "My Child."

Sometimes you just need a pair of cold, steel balls to fondle. Maybe they remind you of home, maybe it's just stress relief, maybe you miss your father, nobody is going to judge.

Theremins were in vogue during the occupation

Pop out of the desk and scream "exterminate!"

Wifi access point.

they are the larval form of the blinking tubes

Squeeze really tight and say, 'yes, I can.' Say it again. 'Yes, I can!'

Eddie Murphy as Sherman Klump, Buddy Love, Cletus Klump, Mama Anna Klump, Grandma Klump, Ernie Klump Sr., Lance Perkins in The Nutty Professor (1996)

Pain play with their version of Baghdad Batteries. No kink shaming.

You use those if the seashells are busy

That's her pooping face and the third seashell is currently in use.

Tune in USS Tokyo.

Wrong answer?

... they lactate.

Sometimes you just get thirsty.

Torture usage. She can claim there are three of them.

Hi-tech... praying things, that the Cardassians for some reason adopted in the occupation? Maybe the Cardassians were trying to contact the prophets.