Pressing question, my pretties

That a tech support website would not particularly specialize in the history of the fabric:scissors relationship.

My guess would be 'Not long after the realization that garments without holes are no more than brightly coloured bags".

Scissors, or pairs of scissors?
If my cognate bounce off of Danish is any good, the pair of scissors is an object obtained by combining two *scissor (The asterisk signifies an undocumented reconstruction).
Danish has lost the pluralness of pairs of scissors, they're simply one "saks" - before however, a thousand years thence, the "saks" was a one-edged sword, like a heavy bad-tempered bread-cutting-knife.
So, from that, I'd surmise that the cutting of fabric was only a secondary purpose for this supposed *scissor, insofar as the flesh happened to be covered in fabric.

Of course if 'fabric' is in an older sense, then the answer is as different as it's question.

Animal hides were used as 'fabric' millennia before edged metal blades.

Besides, shouldn't a 'pressing' question ask about the invention of the iron?

Quite a long time after Woven Fabric was invented Scissors where developed to cut it.

Prior to that they used to cut the Fabric with a Knife or rip along the Wep.

The Ripping of Fabric was used to make it roughly to length but the cutting was used to cut across the weave and produce a better edge for hand sewing. Originally they used to use Bone Needles to sew fabric together a carry over from when skins where joined together to produce clothing.

The newest development in cutting fabric was fairly recently about 50 years ago when the Hand Held Rotary Knife was produced for Home Use. Prior tot hat Rotary Knives where used by the Industrial side of things to cut several layers of Fabric to the same shape.

Now who wants to ask about the Sewing Machine? :D

Col