I delete the segment and enter manual time with an explanation of why i did that. Manual time isn't protected by oDesk in disputes, but in that situation it's fine to use and low risk.
There's a fairly noticable popup, that you can also configure to make a sound; and if you're really worried you can review the screenshots in your work diary at the end of the day.
I believe it gives you something like 10 seconds to click "delete" before it uploads it, but even then you can click the screenshot from the Upwork client and it'll take you to the work schedule where you can then delete it (removing the time worked / money paid for those 10 minutes).
