Unfortunately, the LRS are still log files. There is an analytics team building out something which will hopefully be better, but it's not in place yet.
Fortunately, the log files are very detailed, and you can do great post-hoc analytics on them. The system was designed from the ground up to capture very complete data.
Tincan support is not there, and not on the immediate roadmap. We had investigated it at one point as the primary way of managing learning analytics. As I recall, there were a number of issues which would need to be resolved before we could use it. We needed a solution on a timescale where we really could not engage with the standards process around Tincan to resolve those issues, so we went forward with our own standard. I expect we might want to revisit that decision once the frameworks around analytics are more mature.
We do expect to eventually need to consume data from a range of sources outside of edX, as well as probably provide data to other systems. At that point, at the very least, I expect we would need pluggable connectors to standards such as Tincan and IMS Caliper, as well as potentially proprietary systems. Unless someone in the open source community took the lead here, I expect it may be a bit of time before get there.
Piotr