Question: I hope that this question follows the rules.

One of my characters has a kalimba that, when played, allows the player to hear the thoughts of everyone around them, and everyone around them can hear the player's thoughts. These thoughts can also control each other, so everyone involved can make each other do anything they want by telling them to do it through their thoughts, like mind control.

It's kind of like an addiction, though, and the more that you play it, the deeper you get in said "addiction". The idea of an addictive magical item sounds kinda familiar, though... (cough One Ring cough)... at least, to me, it does. (Note: All magic is addictive, and the higher magic something has, the more addictive it is.)

It only works if the correct three moons are in the sky (this world has multiple moons); otherwise, it's a completely normal kalimba.

Is this too cliche, or should I keep it as it is?

Answer: 
Your magical item is distinct from the One Ring because it simultaneously takes control of others *and grants those others control over you*.

One Kalimba to rule (and be ruled) by all...

Sounds like a lot of new territory to explore in that one. Definitely not cliche'.
What seems the underlying mechanism of the Kalimba is to bring multiple people together into a singular hive mind, regardless of who's actually playing. (The way you've described this the person playing isn't conferred any particular "power" over the others in earshot.)

On that note, what you have is something that's addictive not because it bestows power, but togetherness. For example for characters who are stoic and difficult to open up, it could be this thought-sharing would be enticing since thoughts are more abstract than words.

I wouldn't consider this is a cliché simply because the addictive mechanism is different.