Is it possible to receive email notification for new comments on the Support page of a Chrome extension in the webstore?
On the support page of a Chrome extension I can add a new question, suggestion or bug report but I don't receive any notification about responses.
I had the same problem. I have several apps in the Chrome Web Store and I found it tedious to be constantly checking. I found an extension that claimed to have this functionality, though I found it periodically lost my list of extensions and wasn't able to actually fetch reviews consistently. You can try the extension here: https://chrome.google.com/webstore/detail/my-extensions/igejgfmbjjjjplnnlgnbejpkpdajkblm?hl=en. It is also open source, so it could be improved.
I ended up writing some of my own scripts to periodically check and send me an email when there is a new review or support request. I made it available to use as a hosted service (currently free, though I plan on asking for a little money to defray the hosting costs as well as some coffee money). Check out the hosted service at https://www.chromebeat.com. It has a full list of the Chrome webstore apps and extensions and can send you notifications on a new support issue or review. Right now it only checks hourly and sends on the hour.
Also, when you respond to a support request, the user who reported it doesn't get any kind of notification. The best way around that I've found is to actually message that person's Google+ profile, either by adding them to a circle (e.g. App users) posting publicly and mentioning them in the post, or for some users it's possible to message directly with hangouts.
[update: Oct 2015. It's now possible to "Reply" to reviews in the web store, so that's probably the best way to respond to user reviews directly]