The throw rope Dyneema is sheathed in polypro, for flotation, which I think has an even lower melting point than dyneema.
During the packraft rescue training class this last weekend we were able to use Tiblocs for ascending the quarter inch (6mm?) dyneema. It worked with a big single biner or two little Camp biners (very light) that Matt Hage and Agnes had.
Also we discussed carrying descending rings in lieu of a biner or two for replacement use of a pulley or carbiner...
Anyway, I am interested in hearing about people's experience rapping on the dyneema with the polypro core, but it will be a tough nut to crack comfortably.