The quick edit Wrench allows you to edit a Blogger gadget directly from the blog page rather than having to go through the Design > Page Elements screens and then finding the actual widget itself before you can edit it. But some designers don't prefer this edit Wrench therefor they often remove it from the homepage. The quick edit can be missing from anywhere in your Blogger theme. However, you can add a wrench on the widget that you want them to appear. Find out the tips here
1. Login to Blogger
2. Go to Design > Edit HTML
3. Check the Expand Widget Templates box
4. Using CTRL + F buttons together bring up the search box
5. Enter the following search term
</b:includable>
7. Widget id shows where the widget is. Just identify the widget that has the missing quick edit feature and add the following line of code immediately before the </b:includable>
<b:include name='quickedit'/>
9. Click on Save Template