Hoping for an awesome group brainstorming session.
What are all the fun things you do with a robe of infinite twine and a traveler's any-tool?
Anyone? Surely there are some fun ideas to be had!
The first thing that comes to mind is anything involving a block and tackle. You have the block and tackle, you have as much rope as you could possibly need! Go for it!
Grappling hook certainly.
Had a character recently who used his traveler's any tool to cut a hole in a glass pane after going through somebody's room and stealing their stuff to make it look like it was a burglar, could have easily used the robe of infinite twine to sell the story a bit better.