I started a workout yesterday for which i had enabled Live Sharing. But due to a limitation with my packet data connection, i did not have internet access. But since i had started the workout with live sharing enabled, i could not switch it off during the enitre workout. The packet data was connected all the while and i think ST tried to connect and share the workout live all the time.

Not just for this situation, but if sometime the battery did not have enough charge and you had started the workout with live sharing enabled, it would be good to switch off the live sharing and get as much out of the battery as possible.