Ok, let's try this. Right click on an open/empty area at the top of Word, where the toolbars are located. You should see "Customize" at the bottom of that list. Select it. Now, with the Customize panel still open, right click on the Save icon on Word's toobar and Delete it.
Now, go back to the Customize panel and click on File on the left side, under Categories. Next, scroll down the left panel, under Commands, and locate Save. Left click on it and drag it to where you want it on the toolbar.
Now, close the Customize panel and test the Save icon. Does it work right?