If you are 'in the limelight' it means you are at the centre of attention or in the public eye. The limelight is a 'spotlight' that was used on the stage many years ago and so this expression means the same as being 'in the spotlight'. If you are 'in the limelight' it is likely that people are talking about you and interested in your actions. 

1. The politician has been in the limelight recently due to the controversial comments he made at a recent speech. He has since released a statement of apology.
2. Greta Thunberg has been catapulted into the limelight due to her activism on climate change.

1. In his speech, Henry took all the credit for the project's success even though I did all the work. I can't believe he stole the limelight from me like that!
2. The company's groundbreaking new product has really put them in the limelight. Everyone is talking about it and sales are through the roof!

1. Our CEO is excellent at handling the administrative side of the business, but she doesn't like being in the limelight. Therefore, she leaves any media work or public speaking engagements to a spokesperson.