I resized my droplet yesterday and the process went through without any errors or warnings.
When I powered on, I discovered that my networking had stopped working.
I'm able to access it through the web...
So I managed to fix the issue.
Turns out my both interfaces eth0 and eth1 are going down after a reboot.
I have to run the following after that:
ip link set eth0 up
ip link set eth1 up
ip addr flush dev eth0
ip addr ...