Let me start off by saving I don't, and wouldn't own one of these, but I do have quite a bit of experience shooting one. I couldn't recommend one of these to anyone, especially not for the price.
A good friend got one for his daughter in .243. He traded a $600 Ruger Lever Action .44 Mag to it, not knowing what either were worth, so that just added insult to injury. His daughter is left handed, and he wanted a single shot, that she could easily shoot. Turns out she hates it and would have rather had the Ruger, or a right handed bolt action. Regardless he went to sight it in for her, and noticed that when shooting it, after each shot the action would pop open and it would shoot the shell out right by your head. This is dangerous, as the shell can hit you in the face very easily. He asked me to look online about it since he doesn't have a computer. When I did, I found this is a very common issue, and the only known solution is to keep the breech face absolutely clean, and absolutely dry with no oil on it. Other than that, just pray it doesn't happen again and hurt you. They cleaned it, and got any oil out of it and so far it seems to be staying locked together, but I don't think any of us really trust it, and this is a big reason why his daughter doesn't want it.
The next issue it had was every couple of shots, the fired casing would stick in the chamber. Once again I got online and found out this was also a very common issue for several of the calibers, and that a fix really wasn't known. Some had polished the chamber themselves, some had sent it back to H&R/NEF, and others had taken it to a gunsmith, and each of them still had the same problem when the gun returned. He decided to take his to a gunsmith and see what was going on. The smith measured the chamber and said that it wasn't cut deep enough, and was out of spec. He recut the chamber to proper spec and sent it back. When it came back, it functions a lot better, but still has the same issue way too often. Instead of doing it every 3-4 shots now, it does it once every 20 shots or so, or that's how it was when we shot it last, but it's still way to often in my opinion. From what I've read online the factory's solution for the new ones is cut a notch in the barrel so that when it does stick you can pry the cartridge out with a knife or screwdriver. Are you joking? That's their fix? That also seems to be what people recommend on the older ones as it seems the sticking is inevitable. The other thing I've read of people doing is when hunting with these carrying a cleaning rod with them so that when it does stick they can knock the empty casing out. To me this is ridiculous for a $300 gun. If it was $50 new, I could put up with this, but for $300, seriously?
Those problems aside, the fit and finish of the gun isn't very good either, and the trigger is horrible. However, I've read online that some come with decent triggers while others don't. So this seems to be luck of the draw.
Then onto the accuracy issue. They got lucky and this one is reasonably accurate, but it's still nothing to write home about, and from what I've seen online it's probably one of the more accurate ones. I've seen tons of reports of 4-6" groups. When they first sighted this one in, they shot it at 30 yards, and were impressed by the accuracy. He told everyone how it shot one hole groups, and while it wasn't quite that it wasn't far from it. He just neglected to mention this was at 30 yards. Once we moved out to 100 yards, it opened up to 2" groups. We couldn't get much better than that with factory ammo, and it seemed to hover between 1.5"-2" groups at 100 yards. We did try some of my handloads and got slightly under 1.5" groups with it. These same handloads shoot .5" groups in my Savage at 100 yards. I don't think any of us can complain about these groups after seeing what some other ones shot, but at it's not great.
The same friend has another one in 45/70 for his son. This one doesn't seem to have the shell sticking issue, but it's accuracy is horrible. They tried to scope it, and never could get it sighted in as it just shot all over the place and nothing that even resembled a group. He took the scope off to use on another gun, and it just sits in the gun cabinet with no scope, and never being used. The scope works perfectly on the other gun he put it on, so it's not the scope.
IMO, there just really is nothing about this gun that is good. The reliability is horrible, the trigger is lousy, the fit and finish is lousy, and the accuracy is so-so at best if you get a good one, and lousy if not. I keep hearing fans of them talk about how cheap they are and that for the price you can deal with some issues, but they really aren't that cheap compared to many better guns in that price range. If they were a $50 gun I could see putting up with these issues, but they sell for right around $300 as a package deal here.
For $300 you can get a Stevens 200 that is 10x the gun, that doesn't have any of these common reliability issues and is quite a bit more accurate. Not to mention it's a bolt action not a single shot.
For an extra $100 you can get a Savage Model 10/110 at Walmart with the accu trigger as a package. Then you get a gun that will shoot well under 1" groups in almost all cases, and I've seen many shoot under .5" groups with handloads, you get a trigger that's 100x better, and you get a much better quality gun. Plus you get customer service that's 10x better if you ever do need to use it.
As for the Handi Rifle being lighter, they aren't. So if you really want a lightweight rifle, that's not something that this rifle is good at either.
There just are so many other great options in the same price range, that I don't understand why anyone would want one of these pieces of junk. If you do buy one, expect reliability issues, accuracy issues, and when all is said and done you still have a single shot with these issues that cost you just as much as something better.