Oh I love the idea of covering metal carabiners with clay... don't think I've ever seen that before (and will add to my website!). They'll be a lot harder to cover with clay patterns though than a lot of shapes though because of their shape... in this case, the rod is bent so it can't be rolled as a whole to seal any seams or edges of clay slices.
If you wanted to make a "sheet of cane slices" (on a base sheet, or just alone) or some other patterns though, you could make the flat sheet, cut out a long strip of the right size, then put onto the carabiner so that the seam would lay on the innermost area where it wouldn't be too visible. There would be various ways to smooth seams from there, like rolling over a with a smooth rod (a tiny one in the bent areas), or rubbing with fingers or mild abrasives like Bon Ami (then sanding later if the surface gets smeary).
Or you could just cover with a solid color then add dimensional onlays with the slices or other things too.
If you want to read about making sheets of slices, etc., check out these pages:http://www.glassattic.com/polymer/sheets.htm
(...click on Flattened Pattern Sheets
> Cane Slices, etc
... also see page below which has similar and maybe more info)
with polymer clay can be similar in some ways (but easier because they're straight instead of bent) so you might want to take a look at some of the ways that's done on this page:http://www.glassattic.com/polymer/pens.htm
I'm open to any and all suggestions to improve them.
I think you did very well but it looks like you could possibly use a few tips on keeping cane slices from distorting when reducing canes and/or when cutting them from the canes... there's good info on avoiding those things on these pages:http://www.glassattic.com/polymer/canes--reducing.htmhttp://www.glassattic.com/polymer/Canes--general.htm
(...click on Cutting Cane Slices
... and click on Sheets of Slices