The phrase "political limelight" refers to the attention and public spotlight that politicians receive. It means being in a prominent position and being widely noticed and talked about in the world of politics. Full definition
Trump simply has the (pick one) poor taste / populist acumen to act that way in political limelight instead of a locker room. (politics.stackexchange.com)
«This is a man who rose to political limelight as governor of the state through the platform of APGA and later dumped the party for his egocentric interest. (dailypost.ng)
Others in tech have silently squirreled away their winnings, staying out of the political limelight. (nbr.com)