Is there a common name for scope collar clips?
Depending upon your scope probe maker it may be possible to order replacement parts from the manufacturer. This usually gets you the short GND lead with the probe GND lug on oneside and the alligator clip on the other end. 

When you receive the spare parts you cut off the alligator clip end and solder the wire to your new custom end fixing.

Advantages of using the original probe manufactures GND lead assembly include that lug end is known to be correct for attachment to the probe. I have seen variation from manufacturer to manifacturer and there is little certainty that Mfg A's parts will work in Mfg B's probes. Another factor is that decent GND probe leads are made of very flexible stranded wire that may be difficult to source without purchasing a whole roll. Regular wire you find in a lab is typically a bad  choice for these GND clips because it can break with a small amount of usage.