Well I don't know about this particular piece, but in the chromatic double thirds section of Chopin's prelude in d minor (Op. 28 No. 24), I devised my own fingering that enables me to play it completely legato without pedal or sliding.
From D and F in right hand descending:
1-5, 2-4, 1-3, 2-5, 3-4, 1-5, 2-4, 1-3, 2-5, 1-3, 2-5, 3-4, and 1-5 back at D and F. Repeat.
It was really hard to do at first (seems very awkward), and it took a lot of slow practice, but now I can do it pretty easily. There actually is something of a pattern to it, if you examine it closely. The hardest ones to hit are the 3-4's, which always occur on two black notes (Bb and Db, Eb and Gb).
I'm not sure about ascending; I know I do something similar but I think it's slightly different -- but since I tried it after I had the descending under my fingers, I actually just kind of intuitively make the switch.
But now I can do asending/descending in both hands.