A bit of background: my manager literally runs around the office when she needs something so she can return to her desk asap. While watching her one day I thought about trying my own experiment of jogging from place to place.
I chose jogging instead of running as I figured the expenditure of energy and anaerobic respiration required for a full on run/sprint would take too much energy for the seconds saved and distance traveled, while jogging would feel a more natural transition of energy and still save some time.
So far, the only 'drawback' I've seen is the occasional confused look from a passerby (truthfully though, most people don't seem to care). Comparing this to the increase of overall energy and positive emotion I've felt, it's been well worth it. There also might be times and places where jogging would be inappropriate, so use discretion of course.
Also, you don't have to start out with jogging right away! I run daily anyway so that's why I transitioned right away. You could start with a brisker walk and work your way up.
If you do try it out, please feel free to let me know how it works out for you! :)