I keep a sling (leather, David-type) in the side pocket of my backpack -- in case I feel the need to work off a little tension by humming a few nice golf-ball-sized ROUND stones across the field or lake. I've never developed the accuracy to hit a rabbit with any consistency, but at a couple of hundred yards, I can make an armadillo's life interesting... .-)
FYI, the only thing that flat, ovoid stones like a hand-axe (which is also too large for the sling pocket) do is make a nice humming noise and curve off in any-which direction. And nice, sharp. knapped flint bifaces like those pictured would slice that leather pocket to ribbons...
Give it up; you don't know WTH you are writing about!
Replicating a Clovis point takes a bit longer -- and a more sophisticated toolkit...