2018 Update - Might be helpful for future readers:
I am not sure when this was originally introduced in Chrome. But another (easy) way this can be done now in Chrome is via console commands.
For example: (in chrome console type)
getEventListeners($0)
Whereas $0 is the selected element in the DOM.
https://developers.google.com/web/tools/chrome-devtools/console/command-line-reference#0_-_4