You will potentially have to upgrade your kernel to a newer release in order to get the full Thunderbolt3/USB-C functionality.
The port is capable of both USB and Thunderbolt functionality, but the Linux kernel drivers are still catching up.
Getting to use a Precision 5510 for work since May and working on the imaging process (preseed) I learned that we are using a specific version of the 4.10 kernel in order for the TB3 to work properly with the Dell TB15/TB16 docking stations. It seems like things are hit or miss when updating to the Ubuntu hwe-edge (their semi official 4.10 packages) and the version we are using is closer to mainline than to an Ubuntu build.
I've been deploying the spare 5510s that I was testing on to users, but I'll try a fresh install with the hwe-edge again and see if it works properly with the docks. The USB-C support has been pretty solid, but not everything is back ported to the 4.4 kernel.
Update:
Ubuntu 18.04 and the 4.15 kernel is WAY better than 16.04 and any of the supported Ubuntu kernels available there. Possibly in 16.04.5 with the linux-image-hwe-edge-16.04 if it is 4.15 it will be better in 16.04, but there are some excellent improvements with 18.04 all around, not the least of which includes not needing to limit the Gigabit Ethernet port of the TB15/TB16 to 100 Megabit due to an overflow issue in the drivers.