In its purest form, when the team narrows down to a 1v1, last man standing situation, some dick in chat will say/ type "clutch or kick" for the team to vote on whether they keep the player in the 1v1. Win the 1v1 or the team kicks you.I still don't even know what that phrase even means, which is why I treat them as being retarded.
In broader terms, dickheads will use the phrase to call a vote on a certain player. I think I've seen it once or twice in Battlefield 4, never in Destiny 2, and I haven't played much COD. or Overwatch.
I think it is childish. You're playing what amounts to a pickup basketball game at the local Y and if someone can't hit free throws you want to throw them out of the gym? You have to be bitch made to act like that. Leave the game or finish it out, a new lobby is right around the corner.
It is supposed to be a popular term in CSGO, but I've never played that game, too many people view it as a religion.