Attaching Cuffs to Tall Socks?

[Bugbear]

I brought this up as an idea in another thread, but it wasn't quite what the OP had been trying to explain.
How would one go about attaching a cuff to the top of a tall sock?
My Lewis hose have an attached cuff, for example.
Also how would one go about keeping a cut edge of a knitted sock from unraveling?

The thought was to cut off the upper part of the legs of one pair of soccer socks, like if they are worn out, and sew, or attach in some way, these onto a similar pair as a cuff. Or, perhaps, use them as hose toppers, only on a pair of tall soccer socks or the like. The issue was how to get enough stretch in the sewn part that it would still expand enough to get one's foot or widest part of the leg through.

Any advice from the knowledgeable?

I'm not sure I would be able to do this if it is possible, but I am curious. Thanks.