Say I have a {predator ooze} out with 5 or less +1/+1 counters on it and my opponent uses a {dismember}. Would my ooze become a grease spot and die or would its indestructibility save it?
Your creature would die. It's toughness is reduced to zero.
Dismember is great against indestructible
Also {Grasp of Darkness} :)