When shaving at a sink, I just rinse under the tap (Faucet), however I never leave it running (all water here is derived from desalination and leaves a huge carbon footprint and costs about the same as gasoline), just a 1 or 2 second trickle does it. On the odd occasion that the cats have not commandeered it, I shave at my shave stand. There I use a piece of kitchen tissue folded over, and wipe the razor on it, much like the sponge.