Ever wonder if you are the only one with this question?
With Gliffy Diagram Open:
File, Export as JPG
Hit Ok, Save to Desktop
Then, within your word document: Insert, Picture, From File
You will browse to the JPG file on your desktop, Select the JPG file, Click Insert and you are ready to go!
This may not be news to some, but we hope it is relief for others. Enjoy~