I have a 4" 625-8 that I shoot quite a bit. I love the gun - I will only say a couple of things -
1) if you decide to buy one stick with steel clips (I have had a couple of issues with Beckham RIMZ plastic speedloaders - they are easy to load but I had a round that the firing pin went through the primer due to the plastic clip holding the cartridge closer to the frame than the steel moon clips - accuracy also seemed to suffer???)
2) my front sight is becoming lose - the material around the retention pin for the sight on the barrel seems to be yielding and allowing the sight to "wiggle" - I think it will need to go back to smith at some point.
Woody, your 625 has the interchangeable front sight and it's normal for them to have some "wiggle". Good news is that you can remove the sight without any hand tools in under a second with a bit of practice. Push the sight towards the rear of the gun against the spring tension and lift it out of it's nest front first.
BTW, the dovetail base on these sights typically run a touch longer than really necessary and take a LOT of pressure to the rear to allow them to tip out of the nest. If you want to make them easier to pop out just stone the tip of the front doevetail by 0.005 to 0.008 inch, that small reduction makes them much easier to remove. One other tip is that you can peen the side of the dovetail with a center punch to reduce that "wiggle" because the raised rim of the center punch strike will tightem them up. However, you'll likely have to stone them to fit after doing the peening.
As for the current 625's, mine is the 625 JM model and the only real complaint with mine is that the serrated trigger feels like a bundle of razor blades. However, I'm a tinkerer so I've fully tuned my 625 and took care of those serrations before I fired one round.
Positives, it's distinctly accurate, I really like the Gold Bead front sight, and the recoil is VERY well balanced. I'll also note that the chambers in the cylinder on mine are so well finished that moon clips really aren't needed, I've shot many loose rounds in mine and all it takes to empty the cylinder is a firm shake. I've also found the bead blasted finish a lot easier to clean than I expected, don't know why but it cleans like it was teflon coated, with the exception of the face of the cylinder.
Negative, the trigger as previously mentioned. Fact is that I don't think that it's possible for a human being to develop calouses thick enough to stand up to these serrations, you could likely shave with them. Good news a sanding drum on a Dremel cuts them down quickly. Second negative is more personal, I found the factory grip too small and mine now wears the monogrip for the 500 Magnum.
Summation, IMO the 625 is near perfect. The only things I would change is that I'd prefer they offered a model with the blued .400 smooth target trigger and blued .400 wide service hammer. In addition it would be nice to see a package that offered both 45ACP and 45 Long Colt cylinders. Fact is that I'm slowly getting the parts together to convert my 625 to the .400 hammer and trigger set and down the road plan on looking into having a 45 Long Colt cylinder fitted to mine.