Softshell and other clothing fabrics.
Something to enable highly abrasion and tear resistant layers with stretch that are breathable but could have a DWR treatment. IE softshell material. As Dyneema is fairly water shedding on its own the DWR treatment should last quite a while.
One Idea, though I don’t know how practical at this point for fibers thin enough is a kernmantle-like construction where the outer fiber is Dyneema and the inner fiber is something that stretches. For any given length of thread constructed like this the outer fibers would be slightly longer than the inner fibers as the weaving makes them take a longer path length so a small amount of stretch should be possible. High abrasion resistance plus stretch without depending on the weave alone to provide the stretch in only the diagonal direction. Imagine an Arcteryx or Outdoor Research lightweight softshell jacket but significantly more abrasion resistant, would be even better than current jackets for rock climbing and alpinism. Similar kernmantle-like fibers could be used for great pants as well.
Rain/wind shell type fabrics and laminates.
The NW Alpine Eyebright jacket and similar Dyneema containing jackets look great and are very light, but a light woven construction could be significantly more resistant to abrasion than a non-woven laminate construction. If bonding to woven Dyneema is the issue then you could do kernmantle style threads as above but reversed. Woven fiber outer layer that is easy to bond to and a inner Dyneema core for strength.
Mosquito / no-see-um netting.
Weight saving possibilities aside, a Dyneema mosquito netting would be stronger than available materials. As it is very slippery the normal way to weave netting may not be adequate. Maybe you could do a loose plain weave and then thermally bond the threads together at the intersections with a roll lamination machine (without actual lamination) or some other method.
It would be nice to be able to have a dynamic climbing rope with the abrasion resistance of Dyneema without impacting the stretch of the rope. I imagine there would then be issues due to its lower melting point and lower friction when belaying and rappelling though.
Dyneema is certainly a wonderful material, but if it can’t currently get yarns smaller than 50d, are there any other very strong materials that currently can while we dream of the future? Kevlar, Technora, or other aramids, vectran, Zylon/PBO, ??? In many applications Dyneema’s low melting point are not much of an issue. For camping/hiking we can just be careful around camp fires, that is usually sufficient, however a better wonder material would also be resistant to heat.