Multiple Checklists for Jira are being cloned along with an issue, so you don't need to do it manually each time.

Simply choose the issue with checklist that you want to clone. From menu select Clone and confirm by clicking create.

The checklist will be automatically added to the cloned issue.

Bare in mind, it will be a brand new checklist – no checklist history, item history nor the statuses will be cloned.