cannot make a video but can create a gif with pictures for you on monday,
as far i know, there are 2 common ways of flipping a reverso.. i will try and explain both since my reverso's are locked up in the bank and they dont open till monday..
A: this is the method i personally use as it suits how i wear the watch and i feel gives less wear on the case.
with time facing out (crown on right) wearing on left wrist
1: use thumb to push right (50% of the way)
2: use pointer finger to raise case and slowly lower on other side
3: use thumb to "click" the reverso in from the left (the roller ball only comes in contact with the side of the lugs and should not give much if any long term damage)
B: this is the method i have used when first getting a reverso and scratched the case and left a little "dent" in the top of the lug from the little roller ball
with time facing out (crown on right( wearing on left wrist
1: use pointer finger to pull case up from right side (crown side)
2: use thumb to push the case all the way to the right
3: use thumb and pointer finger to push the case down into the watch (click)
as you can see the clicking down of B not only leaves a small dent in the case but when it snaps down it always leaves a small mark on the watch from where it hits the back as it snaps down.
me personally, i only buy 1 sided reverso's (movement of blank on one, and time on other) as i prefer to have the movement or blank side always showing... and when i feel the need (crown on left)
1: i use pointer finger to "pop" the case to the left
2: use thumb to raise case to view time,
3: then i set it back down
4: and click the watch to the right putting it back to its place.