SSL was created so that sensitive information like passwords or credit card information cannot be eavesdropped on by a third-party -- your browser encrypts this data and Neocodex takes the data and decrypts it, but anyone in the middle would have no idea how to read the data. These type of eavesdropping attacks are pretty rare and usually happen because the person is on an insecure connection such as public WiFi. The owner of the public WiFi could easily listen in to the traffic happening on the network.
In order for us to use SSL, we needed to have our identity verified by a reputable Certificate Authority (CA) and be issued a certificate (which has an expiry date of one year).
So to make a long story short, feel a bit safer. If you want to know more about this, visit the SSL post in the technology blog.