By default, every time Chunky crashes it sends info about the crash to the crash-reporting service Crashlytics.
I get to see where in the code the crash happened, and some basic info about the device it crashed on (make and model, free memory, that kind of thing). I don't get any personal info about you, or your library.
Crash-reports are really vital to me learning about problems that would otherwise be impossible to diagnose, but you can disable them by going to the Settings menu, hitting 'Advanced', and turning off 'Send crash-reports'.
In versions 2.4.2 through 2.4.4 I also tracked some basic, anonymous stats on app usage via the analytics service Flurry. That's been removed from the app as of version 2.5.0.