Some of the questions I ask or have been asked are below. Sometimes the questions aren't quite this specific, but I've made them a bit more opaque to make it clear what interviewers are looking for. Every university is different, these are reflective of my perspectives and experiences:
Why are you interested in XXX college? We want to compete with the research-institutions and find people who are both amazing researchers and teachers, but also have the fear that the applicant either prefers to one extreme (primarily research or primarily teaching). We (at our specific school) want people who are productive researchers who also love teaching. So we are looking for clues that you really want to be at a small liberal arts college and are dedicated to both teaching, mentoring student research, and continuing a research program.
Given that our subject pool only has 100 people per semester and you likely will have one lab room / shared lab room / no lab room, how do you anticipate conducting your research here? [Research universities really want you to establish independence from your advisors. We care about that too, but are more lax
Pretend I'm a student. I walk into your 1.5 hour class, sit down, and… tell me what the next 75 minutes of my life are like. What does your typical lecture look like?
What specific activities or techniques do you use to promote critical thinking in the classroom? Application of material to current events or real life?
How do you train students to think like scientists?
How does your research inform your teaching?
How would you deal with a student who said offensive things in class? Who started sharing personal views or experiences in class?
What are your assignments? How do you clearly convey what is expected? [Unclear expectations is one of the two most common complaints in student evals. When people start teaching, I don't think they realize that professors have WILDLY different standards, expectations, or things they emphasize, so I thinking being crystal clear about expectations is important (examples of past "A" papers, study guides, example exam questions, practice sets for stats, 10 minute lecture on what is expected in a science paper, etc).
How do you promote a positive class atmosphere with lots of student-student and teacher-student interaction? Which specific techniques do you use?
Be prepared to very clearly describe your research - a strong SLAC wants a good scientist as well.
GOOD QUESTIONS TO ASK:
I like to run a weekly lab with 5-10 students who work on projects with me and ultimately conduct independent projects. Are there opportunities for that and student interest in that kind of lab here?
Service and being a good citizen in the department is very important to me. Do you have a sense of what service roles and opportunities there are for the incoming faculty member?
If there is one thing you think is really important for someone to know about teaching/working at XXX university, what would it be?
Every department has at least one batshit crazy person who has totally lost it. Who is that person in your department?