My 38mm C60 (red bezel, white face) came with the alligator strap and while it is quite classy it's not much use when I'm getting wet so I've ordered a rubber strap that is a bit thicker at the lugs from ebay. I've noticed that my alligator strap doesn't take up much height between the lugs and the corners of the lugs are quite sharp. Haven't scratched myself yet but often find myself running my thumb over the corners and wondering if anyone has.
http://www.ebay.ca/itm/20mm-Black-PVC-C ... Sw14xWIQPb