According to the Greater Fairfield County MLS the house is in contract for sale, hence the status "pending". However, New Canaan has a seperate MLS and it's possible that the house has a different status on that one. That might be why you have received two totally different answers.
It has not been completed with the interior construction. Give me a call 203-515-8954 so we can further discuss. I will be happy to send you more information regarding this property and any others you may be interested in. You can also contact me by email @ email@example.com. Public record usually is when a property is not currently on the market and list the current tax accessor information regarding a specific property by address .