Bad advice. I know someone that had a Tree of Heaven pop up in his yard. Before we had a chance to treat it with herbicide, his landscaper hacked it down with hedge trimmers. Couple weeks later we found 8 new Tree of Heaven sprouts.

The Penn State Ag Extension and PA Dept of Agriculture specifically recommend not cutting down these damn trees. Triclopyr is the recommended herbicide, and there are several ways to apply it depending on size of the plant and time of year.