***UPDATE***
So, I got my first opportunity to shoot the 37 yesterday! Had a buddy join me, and we headed over to a friend's farm to shoot hand-thrown clays. (those red, plastic throwers) I have to say, it is every bit as nice to shoot as I'd hoped it would be, and the #8 Winchester Super X "Game Loads" did the trick. I found recoil to be more like a 20ga. vs. a 12, though my buddy (smaller-framed) thought the opposite. I didn't want to stop shooting it, but the bottom of the box of shells came quickly! I was amazed at how far the gun ejects the empties, but wondered about how the mechanics might not be great for using this at a proper trap range.
With an 870 at the club, I'd drop the shell in the ejection port when ready to shoot. Close, shoot, clear...and leave it that way until it was my turn. The 37~after shooting, and clearing the empty (pump handle now rearward) you have to close the action to put a shell in the mag tube, then rack the pump to chamber it. More steps than using an 870, or anything really...so I can imagine getting a few crooked looks from the Krieghoff crowd.

Not overly concerned about taking it to a club...the 37 will end-up in the bush come late September!
On a side note (and I will get photos this week)...I removed he barrel to clean/inspect~all clear/shiny goodness. The mag tube cap seemed way to stiff, so, I removed it...the spring and follower~this was a good idea. Threads on the mag cap, and mag tube were gummed-up with oily residue. The mag spring had some surface rust, rusty dirt came out with it....enough in the tube that the follower almost jammed. Stranger yet, there was a wood dowel pinned TO the open end of the follower to limit capacity. The pin that held it there was badly bent, making the dowel exit it pretty crooked. Once cleaned-up (that took some time!), re-lubed and re-assembled...everything worked flawlessly. Held 2 in the tube, follower moved easily/freely.
Bottom line~I'm a fan. Not scrapping my 870s any time soon, but this gun was a real treat to shoot!