The checkout freezes, it just keeps spinning
First, in Google Chrome visit your checkout page to get the spinning issue. Then hit F12 and click Console. What message do you see?
Often times you can show your host provider this error and they will fix it.
Another thing you could try is to confirm both URL's match in General > Settings of WordPress:

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Getting Started
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Jigoshop Settings
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Creating Products
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Using Jigoshop
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Customize Jigoshop
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Testings - in case of problems on Jigoshop web site
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FAQ - Jigoshop plugin user questions
- Add a new tab to a product page / Custom tabs on product pages?
- Adding a Continue Shopping button to the single product page
- Adding Product Category Terms in a dropdown box for Custom Post Meta
- Add Alternate text on product picture and title
- Adding buttons / info to the end of each product
- View all (171 more)
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FAQ - Jigoshop extensions user questions
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API
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Screencasts