My wife bought me a Henry pump .22 a few years ago for an anniversary gift. Its an awesome rifle, love it. There are two things you need to know about them:
1: its based on the lever design with a few mods to accommodate the slide action. Its not quite as smooth as the Henry lever (if you are expecting it to be). The action is basically the same as the lever, it just uses a different handle to work it.
2: the bolt can cause some "bite" if you don't allow for it. As I said, the action is similar to the lever and the bolt comes straight back out of the receiver. If you maintain a "shooting" hold with your trigger hand you might get the bolt in the web between your thumb and finger unless you adjust your grip. Not an issue with the lever version obviously as your hand moves to work the action.
Nonetheless, an excellent rifle. I like the fact that I can load almost an entire box of shorts in it and pop away.
Sorry if this was stating the obvious, just my observations.