BlogThis! for Blogger/Blogspot was discontinued.
BlogThis! was a Chrome Extension that lets you quickly publish a blog post.
BlogThis would allow the users to just click on the extension icon and write the post. Now that it is discontinued I managed to make a work around for it.
I'm using a simple email shortcut extension called Send Link by Email or Gmail.
Once installed just click on the extension icon and Gmail's Compose tool opens up
Now you can compose a mail as a Blog post. Now head over to your Blogger settings and setup publishing via email.
See image for reference. Send your composed email to the email you just set up. And voila. Now you can publish a post in just few clicks. Only drawback though is, you cannot set a category of your blog post.