When I buy a bundle of celery, I do something, right away, that ensures the flavorful tops will not get tossed into the compost or frozen for making stock.
With everyone making their own lunches, now, I noticed on a few occasions that some leafy celery tops made their way into the compost bin. My reaction -- Yikes! That's real food that you are tossing out!
Anyway, I had to find a work-around on this one, as nagging does not inspire compliance.
When I get those bundles home from the store, I "decapitate" the entire bundle. I chop off the top portion, just beneath the main joint where the long stem meets the leafy branch. I leave all of the stems, in tact, on the bundle and unwashed. There are decay issues if you wash the bundle without pulling the stems off; and leaving the stems still attached to the bundle keeps them fresher, longer.
After cutting all of the tops off, I wash those parts, and chop to add to a pot of soup.
Problem solved.