I confess. I sometimes set my iPad on the bathroom counter and watch "Buffy the Vampire Slayer" episodes with closed captions turned on while I take a shower. No, it's not an elegant solution. There's a danger of shower splashing, or knocking it over while toweling off. I should probably be looking into acquiring a Koala Mount instead.
The $20 Koala Mount from Dockem is advertised as "damage-free," meaning you could potentially stick them all over your apartment and still have a good shot at recovering your security deposit when you move out. The Koala works with all iPad generations, even the iPad Mini, as well as several popular Android tablets.