While you won't have the GPS recording, the watch does have the time. You'll see if you import it onto Garmin Connect (the online site) that if you view the activity it has two times, moving time and elapsed time. Elapsed time is the total time including pauses. I think the only way to get this back into your training centre tho, is to edit it on a service like Runkeeper, that allows you to edit routes, and then save it out as a GPX file which you can then import back into training center.
Complicated process but doable.
