For quite a while now my fuel gauge has been working only intermittenly and gradually getting worse until it just stopped working altogether.
So I pulled out the sender unit and took it apart. The issue is that the wiper arm of the potentiometer loses its tension and failes to make contact anymore.
Here are both floats removed from the tank:
To remove the potemtiometer, unclip at the arrows:
Inside. Pry the wiper arm assembly off the shaft (make note of its position in relation to the float arm for reassembly):
Bend the wiper arm and other two contacts downward slightly enough to make contact again:
Press back onto the shaft and ensure that all three points are making good contact.
Do both sides and reinstall them in the tank.
This resolved my problems, I hope it works for anyone else who tries.