Perhaps we aren't using the same version of Yosemite or QT.
Using Yosemite OS X v10.10.2 for tests. I use both QT X and QT 7 under Yosemite but previously posted images were captured using QT X v10.4 since you indicated that was the player you were using. Properly chaptered content should support a chapter menu icon option.
I contacted Ecamm this morning, and the tech support folks there told me that Apple has changed/removed some of the interface features on QT, and he sees exactly the same thing I do (go to next chapter/go to previous chapter, but no icon or chapter list).
This was clearly not the first time he'd been asked this question. His solution worked for me: download QT 7, which I did, and now I can use it to view my vids.
I find it odd that Apple would remove such a useful feature, but whatever. It's all good.
It is more likely that your files do not conform to current QT X chaptering requirements. I'm not a Skype user so I don't know what kind of data is stored as content. For instance. if the Skype files are audio only, then they would not be compatible with the QT X v10.4 player chapter menus because it currently appears to only support chapter text tracks that are linked to a video track. (I.e., I have the same problem as you when playing M4B audiobooks and use the same solution—playback in the QT 7 player.) As previously indicated, QT X v10.4 still supports chapter menus for normal video content as demonstrated by my previous screen captures. Not sure if the current problem is a bug or a change in QT X v10.4 player programming. In either case, my suggestion would be to file a QT Feedback report as a bug report or enhancement request to allow use of chapters in the same manner as previous players. If enough people file such feedback reports and/or formal developer "Bug Reports," then Apple may consider fixing the problem.
