It does what it says...but use with caution.
I get frequent and terrible razor burn due to thick hair and sensitive skin. I used this product immediately after shaving...
...Don't do that.
It burned. It stung. It itched. It felt sticky.
BUT, ten minutes out of shouting expletives and concerning my neighbors, I had visibly smaller razor bumps and redness.
If I use this when the shave is not so fresh (say, before going to bed) the result isn't as intense. There's a cooling sensation and a slight tingle, but no explicit pain.
It does reduce bumps as it promises. Just don't slather it on freshly shaved sensitive skin.