Three pages and nobody's brought up the 30 year old joke about the progress of cockpit automation?
Used to be, running an airliner took a crew of 4 highly experienced grey hairs: captain, FO, engineer, navigator. Gradually, automation has reduced the workload and skill required. Latest cockpits require one 19 year old flight academy grad and a dog. And the dog's job is to bite if the pilot tries to touch any of the controls.
The answer to when after V1 it's OK to put your mitt back on the throttles? Watch the dog as you move your hand judiciously toward the quadrant, and see how he reacts.
(On narrowbody airbus you can even hear the dog barking his head off when on the ground the pilot runs one but not both engines. Dogs are sticklers for symmetry.)