Okay, so I killed Benny and retrieved the chip. I killed Mr. House after he upgraded the securitrons and then I put Yes Man in charge.
Some time later I went to fortification hill for the great khan quest. When talking to Caesar I got to option to tell him "Give me the Platinum Chip".
Which is weird, because I still have the chip in my posession, or at least, I thought: House gave it to me after I agreed to go to fort' hill to activate his army (and before I blew his brains out).
So the conversation with Caeser ended with him giving me the (second) platinum chip, that I had to use to destroy the aforementioned army.
I didn't intend to go into the weather station because, as I said, I was only there to find evidence that CL was going to screw the Khans over.
When leaving the Fort I could only leave if I haned over the platinum chip. At that point I thought I actually had two chips in my inventory so I handed one over.
When checking my inventory later I noticed both chips were gone...
This is some weird stuff.