I've never heard this piece before... but if the octaves are fast, I don't know how the snatching idea would work.
I'm also not sure what Terez means about "bouncing". I've always believed that good octave technique has as little vertical motion as possible (your fingers should never come more than at the most
a centimeter off the keys).
For octave technique, try this little exercise:
Sit somewhere, and put your hands on your knees/thighs. Now, without the tips of your fingers ever losing contact with your leg, lift the base of your hand up and then let it fall back down. Do this motion rapidly, alternating the hands.
*ALWAYS STAY RELAXED*
The point of this exercise is to not have any tension whatsoever in the arms, wrists, or hands. I can't stress this part of octave technique enough. It may be the hardest part, but it's also the most necessary.
now, try playing the octaves part of your piece. This time though, instead of just playing the octaves, make it feel like what you were doing on your leg. Don't just play the notes of the octaves: smash all the notes in between too (and remember to stay relaxed!). Think of playing the octaves with the base of your hand, not with your fingers. Now take the notes in the middle out, just leaving the octaves. Finally, play without your thumbs. I mean, not literally... but just don't even think about your thumbs. This will make the voicing better and it mysteriously makes octaves easier to play
Hope this helped