Collocations for limelight - noun

grab, hog, steal
She accused her co-star of trying to hog the limelight.

enjoy
seek
He was never a man to seek the limelight.

avoid, shun
share

into the limelight
an ordinary person who was suddenly thrust into the limelight

in the limelight
She likes being in the limelight.

out of the limelight
The band started touring again after two years out of the limelight.