lanyard or tether able to attach to the tiny wire loop on Cruzer Fit 32GB

Fair enough, I suppose - though I doubt it would have been very difficult to have suggested the lanyard you did in a more pleasant way.  But maybe that’s just me.

And the fact remains that there are three people posting to this thread who have not been able to get the type of lanyard you suggest to fit onto a Cruzerfit, and who have asked for help…  So it may not just be the inexperienced and naive who have the problem.  I’ve been working with PC’s more or less since they were invented, so that certainly isn’t me!

It may simply be that the loop on the Cruzerfit is so small that it often is too small, in which case we just have to live with it. Shame, though.