I was too very suprised when I learned about the interaction of the water molecules, specifically on the hydrogen bonding.
For example if you have salt in water (Na+, Cl-) we can measure the ions velocity by doing simple conductivity measurements.
However when measuring the velocity of H+ and OH- ions (water ions) the velocities of these ions are enormous compared to other ions like Na + and Cl-, not because of their size, but because of the ability of the network of water molecules to exchange hydrogens. So an H+ doesn't actually move from on side of the cup to the other - rather the water molecules just swap hydrogen thereby conducting electricity.
Hydrogen bonding is a very strong intermolecular force holding the water molecules so tightly together that could really be seen as a "giant molecule" capable of conducting electrical signals.