I picked up an Omega constellation double eagle from a member of this board. Very nice watch and good transaction with the seller, but after wearing the watch a couple of times I noticed a problem. If I would bend my wrist the wrong way, the watch would get pressed between my palm and forearm and press the clasp button. This normally wouldn't be a problem as you need to press both sides simultaneously to open the clasp, but as only one side was holding, my watch would unclasp and open up. So I decided to repair the clasp and figured while I had it apart I might as well take a picture or two and share what I've learned.
This is a picture of the clasp. This is after the repair as I didn't think about doing this write up until after I had the watch apart. As you can see there are two small screws that hold the buttons in place. When you unscrew them, go slowly as they don't need to come all the way out to release the buttons, and re-assembly is easier if you don't take them out completely. After you release the screws you will be able to remove the parts of the clasp. By the way, the scratches are from use and not my poor workmanship.
These are the 4 parts that will come out. 2 springs and the 2 buttons. Sorry for the blurry picture, but as the clasp is already back together I can't take another shot, but it's clear enough to get the idea. The 2 holes in the center are were the screws in the clasp go through. On my watch the button on the right side of the photo had the hole too far towards the right and as a result, this side of the clasp wouldn't catch, allowing the watch to open if just the left button was pressed. I simply elongated the hole so the button would be able to catch the clasp on this side also, and re-assembled the clasp. The four parts go back into the clasp exactly as they are layed out in this picture. Re-tighten the screws and your done. I am happy to say that I can now no longer pop the bracelet open without using my other hand to press the buttons, exactly how the clasp is designed to operate.

This is a picture of the clasp. This is after the repair as I didn't think about doing this write up until after I had the watch apart. As you can see there are two small screws that hold the buttons in place. When you unscrew them, go slowly as they don't need to come all the way out to release the buttons, and re-assembly is easier if you don't take them out completely. After you release the screws you will be able to remove the parts of the clasp. By the way, the scratches are from use and not my poor workmanship.

These are the 4 parts that will come out. 2 springs and the 2 buttons. Sorry for the blurry picture, but as the clasp is already back together I can't take another shot, but it's clear enough to get the idea. The 2 holes in the center are were the screws in the clasp go through. On my watch the button on the right side of the photo had the hole too far towards the right and as a result, this side of the clasp wouldn't catch, allowing the watch to open if just the left button was pressed. I simply elongated the hole so the button would be able to catch the clasp on this side also, and re-assembled the clasp. The four parts go back into the clasp exactly as they are layed out in this picture. Re-tighten the screws and your done. I am happy to say that I can now no longer pop the bracelet open without using my other hand to press the buttons, exactly how the clasp is designed to operate.