Pinch the blade between your thumb and index finger and wipe parallel to the blade edge. You won't damage the edge, and will clean the blade. You can then rinse your fingers, OR you can set the spine on a towel before pinching the blade, and everything comes off on the towel. No harm done to the cutting edge.

A burst of water under the faucet will also clean the edge, and the drips of water left on the blade will help keep your face/lather moist as you shave. Just don't hit the faucet. The other day my wife asked a question as I was shaving and I tapped the faucet pulling the razor out.

No chip, but it blunted a small spot on the razor. I was nearly done so I finished up with it anyway and then put it with my hones for the next time I honed up a batch.

It's important to be careful with these things. They can cut you, and they can be taken out of shaving order relatively easily. BUT, sometimes I think we go overboard with our caution. Unless you drop it, or knock it against the sink so as to take a chunk out, you'll be fine.

The real focus needs to be on figuring out the irritation and eliminating it.