I know this has been asked a few times, but what I have found out that is the new version of the Communicator plug-in, v1.8, supports Chrome. How come Garmin Connect does not use that?
If I use this page: http://developer.garmin.com/web/communicator-api-1.8/examples/garminHelloDevice.html I can view my device with Chrome.
But if I use this page: http://developer.garmin.com/web/communicator-api-1.7/apidemo/garminDeviceDisplayDemo.html it does not work.
So it seems a bit odd that you have created a plug-in that you do not use yourself.