Pro and Enterprise plans allow exporting data in CSV format.
You can either export all mentions, or you can narrow down the list of mentions by grouping and/or filtering them, and then export only what you need.
Click on the Options button (three vertical dots next to the Filter icon):
Then select Export All from the menu:
The CSV file contains such columns as Source, Mention URL, Mention Date, Author Name, Author Username, Title, Post Snippet, Reach, Starred, Done: