Hello I am very pleased to let you know I have done a little bit of research in regards to wrap around cufflinks. 

I thought they evolved in the early 60's, little to my suprise they were around during the roaring 20's with the fancy name of Cartier on them. We can date them back to the Middle ages. As time marched  on during the 60's and into the 70's they rebirthed again.   Some designer names such as Swank, Hickock, Christion Dior and many more.   But to my surprise I found some beautiful ones with no signatures on them.  Why I ask myself didn't they put a label on these.  Well maybe for one they used their desinger box to show them off, no one really knows.   But for those who are  looking for nice wrap cufflinks make sure and use keywords in your search such as:  More information below contains factual dates from wikipedia

Wrap Cufflinks 

Wrap Cuff links

Mesh Cufflinks

Chain Cufflinks

Wraparound Cufflinks

Note: in these keywords you are searching you can separate the Cuff and Link too 2 words different things will come up.   Alot of sellers will list these in Vintage jewelry not always in Mens jewelry.  In fact I found one the other day in very odd category where maybe one would be looking for polished rocks.  

Let your search engine do the work, put alot of keywords in there try it out.  You will be happy.   The picture above is nice example of wrap around cufflinks with a watermelon stone.   A stone that shows many colors. 

This next information comes directly from Wilipedia, the free encylopedia online but now we can date cufflinks to the Midde Ages.

The History of cufflinks goes back to the Middle ages where its precursor, the 'cuff strin', adorned the wrists of fashionable gentlemen of the day. One of the earliest references to what we now recognize as cufflinks was made in the London Gazette of 1684, which referred to a pair of cuff buttons set with diamonds: the same journal in 1686 also described a pair of gold enameled cuff buttons.  More evidence of the existance of the cufflinks in the 17th century was found in Suffolk, England, where a decorated gold sing chain cufflink was discovered. 

Despite its early appearance, the continual taste for adorning the sleeve ends with elaborate write ruffles meant it was not until the mid-ninetteenth century that the cufflink really came into its own as dandv'ish ruffles gave way to functionally minimal sleeves and in particular the arrival of the FRENCH CUFF (also called the DOUBLE CUFF), or as the French themselves called it poignet mousquetaire- the MUSKETEER'S CUFF, paving the way for the emergence proper of cufflinks.

Initially confined to the upper echelons of society, the the 1860's cufflink grew into the mainstream as jewelers like Child & Child in London and Kremetz & Co in New York brough out cufflinks that were the price range of the wider public.

Good luck and Happy bidding on Ebay