When Clara introduces herself to Rigsy, she is holding the sonic screwdriver up in her right hand. It then cuts to a shot of Clara from behind, shaking hands with Rigsy.
The Doctor's hair changes all through the story.
Subtitles say 'gave' instead of 'have' when the Doctor is talking about his plan to get rid of the monsters.
At 2:50 The Doctor and Clara squeeze out of only one of the TARDIS' doors, yet at 6:56 when it's shrunk further The Doctor opens both. It's clearly done for comedy value, but still inconsistent.