Cloning an Incident - Can this be controlled?

No that is how the cloning feature works.

Regards
David

David, and we had a talk not to clone actual hours as it doesn't have any sense to clone that information. Moreover, it is an error as if I will create worklogs report, for the owner that will double his worklog and probably double his sallary.

Probably, remaining hours should be also set to 0 by default at the cloned task.

Correction: remaining hours in clonned incident/task should be as original estimate. Reason: decreasing remaining should be concious action as it changes the progress.