Oh, yes, completely normal. In the beginning I thought Tess was having bad dreams, so I thought I needed to wake her up, but she wasn't happy when I did... She still has them when she is really deep asleep, so basically every day...:
Remy has them too. I actually was worried she was having mini seizures haha... Luckily my boyfriend told me those are NOT seizures, just dreams! I sometimes wake him up if its getting intense but mostly watch and laugh and whisper "get the squirrel!"