It used to be that if I hovered over the end of the row of tags I would see an "edit tags" link. I no longer see this; I'm not sure how long it's been gone, but possibly since graduation. Is this a reputation privilege? That seems odd, since I can edit tags freely by editing the post.
I see the link on English (graduated, 10k) and Biblical Hermeneutics (beta, 3k); I do not see it on UX (graduated, 1.9k) or Writers (beta, 1.8k).