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This is one of my favourite episodes, and especially one of my favourite characterisatons of Clara herself - both in terms of writing and Jenna's acting. Couple of favourite quotes:
- Have we just watched the entire life cycle of Earth, birth to death? And you're ok with that? How can you be? I mean, one minute you're in 1974, looking for ghosts, but all you have to do is open your eyes and talk to whoever's standing there. To you, I haven't been born yet. To you, I've been dead 100 billion years. [...] So I am a ghost. To you I'm a ghost. We're all ghosts to you.
I appreciate that this is something Clara herself is able to notice, appreciate, and take in. It says a lot about who she is and what she cares about. And it's just such a powerful moment.
- (I'm programmed to select the image of a person you esteem. Of several billion such images in my database, this one best meets the criterion) Ugh! You are a cow, I knew it! Whatever, you have to help the Doctor. [...] You can enter the pocket universe. You're talking but all I can hear is meh-meh-meh-meh-meh. Come on, let's go!
This is a fantastic early peek at who Clara becomes later in her story (or who she has always been). She will do whatever she can to save the Doctor, ignoring potential dangers and rules she disagrees with. And anything that could offend her, of course. This scene is a great companion to the minisode "Clara and the Tardis"

Overall, this episode perfectly portrays the early relationship of Clara and the Doctor, and that they bounce off each other incredibly well.