Many here will shudder - but I often overlock the edges of my quilts. It gives a lovely flat edge to bind over.
And as long as you are careful about the design you choose you can make patchwork. It is harder to get precise matches on seams with more than one match point (eg. joining strips of blocke or 9patch) , but overlocked patchwork makes great doona covers for those who just cannot part with their doonas but who love the look of patchwork. I made quite a few for my sister years ago. One of them I sewed (on sm) with 1/2" seams and overlocked the seam allowances as I went. Didn't take all that much longer and it was washed every week for ages and never frayed or pulled apart.
They are great for all forms of upholserty, and when mine was permanently set up I used to edge large pieces of fabric before pre-washing.
I made a Minkee throw on mine (the last time I used it) and you wouldn't want to know about the fluff and mess it made, but it made a great seam finish. I turned half the seams to one side and half to the other. But it had to be vacuumed before I gave it away.
Most of the books I have show decorative effects for clothing items, but I suppose there is no reason they could not be applied to textile art.