I ended up using the traditional pom-pom flower method, and made six small-ish ones. I tied the centers with cord, and I left the ends long so I could tie the poms to the pipe-cleaner corners of the hexagon I made in yesterday's post.
Here's a look at where mine is at, again:
Using a paper punch such as mine on tissue paper is a recipe for frustration, as the paper just tears or gets mangled. Here's the trick to getting perfect tissue paper shapes. Sandwich two or three pieces of tissue paper between two sheets of construction (or other) paper. Stack them up all tidy, and punch out lots of circles (or flowers, or stars, or whatever you like).
When I was messing with the stringing, I realized my pipe cleaner joinery needed reinforcement, so I took each joint apart, one at a time, and smeared some tacky glue on the pipe cleaner ends before reinserting them. Much better.
Here's how it looks, now.