Instead of packing a large, round roll of duct tape, wrap about 10 feet around a rectangular piece of corrugated cardboard. This dramatically reduces the size and overall weight. Flat gear packs better than large round stuff.

Duct Tape ... another way to pack it ... wrap some tape around everything that will hold it. I have a few feet of tape around the handle of my trowel, my tiny bottle of foot powder, the small hard case that carries my first aid kit (an old army decontamination kit case), and one of my water bottles.
I know some folks who wrap tape and parachute cord around their hiking staffs, above and below the handle.

backpacking.net
Carl Mueller