https://en.wiktionary.org/wiki/schwinden#German
https://en.wiktionary.org/wiki/svinde#Danish
It is indeed related to swindle/svindle/schwindeln but I don't know when the two words "diverged": https://en.wiktionary.org/wiki/schwindeln#German
If you go back far enough, swind/svind/schwinden may also share a common ancestor with "dwindle": https://en.wiktionary.org/wiki/Reconstruction:Proto-Germanic...
As I can no longer edit my comment above I should mention that the original text by Bede was written by him in Latin circa AD 731, but the O.E.D. references version translated in early | middle English by other authors in the centuries that followed.
It's from one of those that the OED quotes the first written use of Swind | Swynde in <cough> "English" </cough>.
( not so much a language as a kitchen sink full of dregs )
[1] https://en.wikipedia.org/wiki/Ecclesiastical_History_of_the_...
which the OED gives as
"To waste away, languish; to dwindle, decrease; to vanish, disappear."
and then Swindle Stock would be the site of a place of punishment - stocks on which people are put to waste away and diminish.
Of course, language being plastic, it might also be the pub in which farm workers drank after listening to the sound of Sycthes while cutting sheaves to Stuck (or Stock) (placed uprtight to air and dry); but that's a stretch.
I drank with the harvesters, who sang me songs about rural life, such as—‘Sitting in the swale; and listening to the swindle of the flail, as it sounds dub-a-dub on the corn, from the neighbouring barn.’