I had my thread scissors on a ribbon around my neck but it, too, kept poking me. What I did was put the ribbon around the wire thread guide on my cone thread holder. I can always find it just by grabbing the ribbon and following it to the scissors. The ribbon is plenty long enough to reach where I need to snip the threads, and if I want to take it somewhere else, I just pull it loose, slip it thru the loop and off we go. I used the kind of attachment where I wrapped the loop of ribbon around the wire, slipped the scissors thru the loop and pulled it snug. Don't know what that is called, tho. LOL When I drop them, they just stay hanging there till I pick them up again. No bending down to the floor to find them.
I had DH drill a hole the size of my seam ripper in the wooden base of my cone thread holder also, and that is where it sits. Easy to grab when I need it, but out of the way otherwise.