I only inspect people in dungeons to see what gear they have and I do that while the tank is pulling trash. And make sure the person I'm inspecting is right ahead of me so my character won't turn their head. And then I deselect them right away.

If I'm the one tanking (which is rare, thankfully) then I'll avoid inspecting anyone at all cause the healer will know I'm checking people out.

Though out of dungeons I've actually stopped to stare at pretty kitties and took pics of them. And if they move before I can get a good shot I actually chase them and yell "Wait! Let me screenie you!!" surreptitiously saves screenshot posted on the first page...