Learner's definition of LIMELIGHT
public attention or notice thought of as a bright light that shines on someone
She is a very private woman who never sought the limelight. [=who has never sought to be famous]
She has shunned the limelight.
When his new book caused an unexpected controversy, he was thrust into the limelight once again. [=he was given a lot of unwanted public attention]
an actor who is used to being in the limelight
He doesn't like having to share the limelight with other actors.
He's always trying to grab/steal the limelight from other actors.