I've carried mine on on every flight I've ever taken as an adult.

Only once did it get looked at, well before 9/11: It was a family emergency situation, I had quickly thrown what I needed into a carry-on with no thought as to neat packing. It wasn't anywhere near full, the stuff shifted. Razor power cord, toothbrush power cord and cell phone charger all in a pile with the razor caused a confusing mass that X-ray couldn't figure out and so they had to open it and have a look.

These days I make sure it's fully charged before I leave, I don't carry the charger anymore. Non-issue.

With mine at least you have to expose the sharp stuff in order to clean it properly. The blades are well under 1/4" each and have many other blades at the same height but different orientations. It would be hard to inflict more than the slightest of cuts with it.