Crepe myrtles are woody trees not like succulents that can be cut and replanted. It would take some sophisticated grafting to actually be able use the cutting..if he took it. It's not like he can stick it into the ground and it will grow roots. It has to be grafted onto another crepe myrtle tied in place and it may or may not grow and I've never heard of someone taking crepe myrtle cuttings. It's a really common tree.

For the record contractors do like to cut anything and everything..so maybe they just saw it and said I should cut that. There is some seasonal pruning that should be done to trees and shrubs to keep them shapely. I don't know if he took a branch off that was leaning the wrong way? Crepe myrtles grow fast so It should recover quickly..and it might be better shaped for it..or not? You can just tell him not to cut it in the future.