I use a metal clip stringer...which I can't seem to find online to show a picture of it.  You can get them at Gander Mountain, but apparently not online at Gander Mountain.

The main difference is that the clips slide along the chain and stop at various points down the chain.  Up near the top is a clip-keeper which holds the unused clips in place until you need one.  It keeps the stringer from tangling as long as you close your clips and reset them on the keeper when you finish using the stringer.

The main reason I like it over a nylon stringer is that it lasts forever.  It is louder, but I tend not to drag fish around too long until I fillet them out.

I'm definitely in these camps:

Metal stringer

Stringer thru both lips...or you'll be hauling a mini sea-anchor before long.

Fillet the fish ASAP.  As soon as I have a meal's worth, I'm heading for the nearest flat rock.