Same problem here
I can see others, but they can't see me. Skype did give the choice of switching between front and back cameras, but it didn't make a difference. I also got a message on installing that Skype wasn't supported on the device yet or something along those lines. Hopefully it's just a bug that will get fixed, but if anyone has a solution, I'd like to hear it.
Skype has to update their app to be compatible with new phones. Hopefully, razr will be included in the supported devices list soon...
Let's all together post Skype forum so that they include the RAZR soon...
Android - Skype Support Network
They told me at VW that Skype isn't supported yet. Tango worked for me.
Sent from my DROID RAZR using DroidForums