Norse Meaning: The name Lene is a Norse baby name. In Norse the meaning of the name Lene is: Distinguished. SoulUrge Number: 1. Expression Number: 9. People with this name have a deep inner desire to use their abilities in leadership, and to have personal independence.he name Lene is a Norse baby name. In Norse the meaning of the name Lene is: Distinguished. SoulUrge Number: 1. Expression Number: 9.