Re: Do Spock & Saavik have any children?
I remember the rumour that the reason Saavik stayed behind on Vulcan in The Voyage Home was because she was pregnant with their baby after she helped him through his ponn farr in The Search for Spock, but that's the only thing I can think off hand.
In general I don't like the idea of them ever being a couple, because they always seemed more of a father-daughter relationship to me, so anything more than that comes off as creepy.
I don't view it as father-daughter (Spock certainly never formally adopted Saavik), more like teacher/mentor and student.
And no, they don't have any children that we're aware of.
"But here you are, in the ninth
Two men out and three men on
Nowhere to look but inside
Where we all respond to PRESSURE!" - Billy Joel