Show a mini cart when hovered over the cart menu/icon. Here is a working example: http://vanstore.myshopify.com/?preview_theme_id=157363075
This is implemented using templating from underscore.js & jquery so make sure these libraries are installed on theme.
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Mini-cart template snippet
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Javascript for mini-cart
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CSS for styling (edit styling as per requirements)
Add template snippet and javascript on theme.liquid
Add CSS on themes .scss/.css