This is not for declarative or scripted pipelines but for the Delivery Pipeline view.

Currently the ability to rerun (the two circular arrows in the pipeline view) a job in the middle of a visualized pipeline cannot be granted as a single type of access like "Cancel" can.  To give someone the ability to rerun a job in a pipeline requires us to grant more permissions than we would like.

Request enhancement to the Role Strategy plugin to be able to grant this permission singularly.