How many times can cheesecloth be reused?
I've not been able to use store bought cheese cloth more than twice and then only if I used it gently. And I'm not gentle on the stuff. I use it for cheese making regularly as well as juicing and random filtering.

I gave up on normal cheese cloth because it is too fragile and way too expensive for what it was.

I now use instead a tightly woven polyester mesh fabric. I found a yard of it in the scraps section of the fabric store for $1. A yard is about 3 times more than I will ever need. I cut it into smaller pieces and hemmed it. It is strong enough to be rung out full of grapes as well as laundered and a tight enough weave to filter small particles out of beef stock.

I was surprised how often I end up using these cloths and highly recommend them.