After a DC Job is completed, it will show up in the Jobs overview on tab Finished Jobs. Here you'll find job information such as its status (e.g. Finished), the user who started the job, its runtime, etc. 

Jobs that show 'Auto Started' under Executed By were started via Auto Run. This can be enabled or disabled via the Duplicate Check menu at left > Settings > Auto Run Jobs.

Click on a Job Name to show more job information.

Click View Results  to view the job results in Salesforce.