I didn't get asked anything weird, but one thing that caught me off guard was people not understanding exactly what a clinical psychologist does/has to do. I interviewed (and ultimately accepted) somewhere that I was the first clinical faculty and some comments during the phone interview totally caught me off guard like "well since you've elected to take a clinical year" (referencing internship...), a lack of awareness that licensure is not simply passing an exam (in that state, anyway), etc. Anyway, just be prepared to provide a little bit of education if necessary.
All the questions I got were pretty much what you would expect. Some interesting ones about classroom management, providing difficult feedback, etc. that I thought had obvious connections to being a clinical psychologist but that I had to draw out more vividly than I'd thought.