Getting into Saturn, however, is vastly different. Casssini has broken up into many smallish, white-hot pieces only to eventually merge into clouds of ammonia at -200C that are blowing at extreme velocities. Further down, there are clouds of water at 0C and then metallic liquid hydrogen. Perhaps pieces could end up there or on the rocky core? Saturn is a weird place.
How much worse than an autoclave is entry to Saturn?
That said, Arthur C Clarke included giant city-sized lifeforms floating in the clouds of Jupiter in his 2001, 2010, 2061 series. And Isaac Asimov wrote "Victory Unintentional" in the robots series.
http://www.sciencedirect.com/science/article/pii/S0094576512...
However, it was evaluated as inferior to the option chosen (there was apparently no concern at all about contaminating Saturn itself); see the slide titled "EOM Options with Science Evaluation":
http://www.lpi.usra.edu/opag/march_08_meeting/presentations/...
So practically speaking, leaving Saturn once it got there was never really an option.
Now, if you could find a way to scoop up some ring material or gas from the planet to refuel...
http://www.sciencedirect.com/science/article/pii/S0094576512...
Some of the options were pretty crazy. This paper: https://arc.aiaa.org/doi/abs/10.2514/1.42893?journalCode=jsr
noted that it would've been possible to escape (in the year 2014) to Jupiter (2021), then use gravity assists to also visit Uranus (2029) and Neptune (2061), or use Jupiter or Uranus to escape the solar system. Cassini also could've used any of Io/Europa/Ganymeda/Callisto's gravity to be captured in orbit around Jupiter, or entered into orbit around Neptune using Triton. I assume the main reason none of these options were chosen was that, with limited fuel remaining and the spacecraft not expected to remain operational forever, it was seen as more valuable just to stay at Saturn until end of mission (as well as pick up a bit more science diving the probe into the atmosphere).