the short answer
Time under tension (TUT) is the total time a muscle is held under load during a set, measured in seconds across the lifting, lowering, and pause phases of every rep. Coaches control it with tempo notation like 3-1-1. It contributes to muscle growth and control, but total training volume and effort remain the bigger drivers - so treat tempo as a lever, not the engine.
This article is general training-method information for coaches, not medical advice - always program around each client's experience, injury history, and goals.