It turns out that a photograph of stainless steel shot is pretty dull, but if you really want, you can click on this image for a bigger version:

I love my stainless steel shot, and have been known to rub my hands lovingly over the tiny pieces as they dry. (Too much information?) But no longer. One thing the bigger version of this photo will show you is that I'd taken all the pins out of the mix. Just the other day, I put them back in — and it turns out rubbing your hands over a mix with pins in it is very prickly, so my weird habit is over.
Lots of jewelers use stainless steel shot in mixed shapes as a tumbling medium to bring a high shine to their jewelry. There are many different brands of tumblers you can use (either vibratory or rotary), and there are many kinds of tumbling media out there. But stainless steel shot has become popular, since it's easy to maintain and produces results pretty quickly. Tumbling is probably the best way to polish chains, because there's no danger of getting the chain (or your fingers) caught up in buffing tools. Tumbling is useful for very small items for the same reason. When using stainless steel shot, the process also work-hardens your pieces, which is very nice for chains, ear wires or earring posts, large hoops, etc.
Urban Maille, a wonderful resource for all things chain maille, has a very good
tutorial on using stainless steel shot for polishing chains. The article mentions some of the downfalls of using pins in the mix, including the fact that they can get stuck in some of the denser chain maille weaves. Another reason mentioned — the possibility that pins leave ping marks on flat, polished expanses of metal — is the reason I first took them out of my mix. My tests didn't show "ping" marks, but I did notice some etched, wavy lines, so I took them out. If you search the web you'll find strong opinions both for and against using them. I suggest you test pins out on the styles of jewelry you're making, and see how they work for you.
I decided to put the pins back into my mix for some of the pieces I'm working on now, and because lately I haven't been making things that have large expanses of plain metal. Hopefully I won't start seeing etched lines in everything, because I am
not detail-oriented enough to take the pins out of my mix more than once. Really. I distinctly remember picking them out a few years ago and thinking "I will NEVER do this again!" Hopefully I won't want to, or if I do I'll be able to find a strainer with just the right sized holes that will let them spill out on their own.
One of the biggest reasons I like tumbling pieces in the shot is because it's so much cleaner than using a buffing wheel. It's true that nothing brings up a high, lustrous shine on metal like buffing, but I decided long ago that I don't like a high luster enough to put up with all the mess. Making jewelry is dirty enough without adding that at the end.
The only thing I don't love about the stainless steel is that the burnishing action of the shot will sometimes raise a fine "lip" of metal along flat edges. I've never discovered anyone else that ran into this problem, so if you have, please let me know. My solution is to limit the time a piece spends in the tumbler (no more than, say, a couple of hours), and/or gently file off any hard edges. Or, you know, that lip, if I've left the piece in too long. I'll post a picture if it happens again.