I have no experience with this integration, but have you had a chance to take a look at this add-on? It is pre installed on your Cloud instance, however you need to contact the vendor in case of interest to purchase it:
I think this will be helpful.
Yes we have implemneted the same for one of our client
Please have a look the Success Story for Salesforce Service Cloud integration with JIRA
Download the Case Study: http://www.osscube.com/case-study/improving-customer-experience-with-an-integrated-system/
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