This is what you see when you start a new chat with someone on the Skype app. All of your messages show up here, and the chat page also keeps a log of any voice and video call activity. As you can see, Skype also has emoji, though they show up very small.
On a voice call you can mute your microphone and sound, toggle speakerphone, and pull up the dial pad from the button toward the bottom of the screen. Interestingly, the dial pad serves no purpose because you cannot dial any other numbers while you're on an existing call.