Finn specifically states that he hopes Jake will save him when the Guardian Angel has him caged, the Guardian Angel mockingly claims it will "save" him.
In regards to who actually "saves" Finn, he saves himself (and Jake) with carrothand.
Princess Bubblegum later saves Finn and Jake from the Chamber of the Crystal Eye.
so Finn thinks his Guardian Angel will save him, but she ends up being a monster who actually want to make him into soup, but then Jake comes and saves Finn from the monster, but then they both get in trouble with the crystal eye thing and Princess Bubblegum has to come in on her morrow and save them.
Finn expects that Jake is going to save him, then he thinks his "guardian angel" is going to save him, but the guardian angel turns out to be a monster.
Then Princess Bubblegum appears on a wicked awesome swan and saves both Finn and Jake.
He expects his "guardian angel" will save him, but i turns out to be neither of those things. Jake busts in to save the day. Then ultimately, Princess Bubblegum appears "on the morrow" to whisk them away to safety fo' realz.
Finn expects Jake to come save him at first but then his "Guardian Angel" comes and saves him. She turns out to be a monster who wants to eat Finn, he then meets up with Jake in a cage where they try and escape together but run into more trouble and finally Princess Bubblegum comes and rescues them both!