You’re correct, it looks like A Simpler Time doesn’t show Edit links below each post. I’ll file a report to our team so that we can look into adding one, and to check if it was left out due to a design decision. In the meantime, you can edit your posts by first going to the post. Then hover over your blog’s name in the tool bar (near the top left). In the menu that drops down, click on “Edit Post”.
I hope this helps. I’ll let you know if we end up adding an “Edit” link below each post.