Steps to reproduce the issue
Create some tags (e.g.: Tag1, Tag2, Tag3)
Edit an item (Article, Contact... whatever is "taggable")
Add one or more (not all) tags (you can select between Tag1, Tag2, Tag3)
Save the item
Edit that item again
Try to add a new tag
Expected result
You should see a list of the "remaining" (not assigned) tags
Actual result
You see a list of the tags already assigned to that item
Workaround
Use batch tagging