I main kleese so I am hesitant to tell you these couple tricks but maybe they will help you. Snipe him, he is a huge target and easy to hit. His sheild is huge but he has no health, if he has a full sheild be careful cause he won’t go down easy, if it’s down finish him! Rifts don’t have a long cooldown but it’s certainly not short. Don’t let him set up a grid and they can’t hide in it. Also, he dies his rifts go down. Focus him and not his teammates in the team fight, also, if he picked a lane just make sure that lane doesn’t score on you and push the opposing lane, if their whole team stays on that side just minimize damage and focus the other side. If he has a grid set up and you go to fight in it you have lost before the fight even started. Kleese is scary but he has several major points to exploit if you have some range to go with your team. Thorn, marquis, isic, they are all good picks to pick off a kleese.
If you have chosen a stealth person don’t expect to escape with stealth, taser will track you and kill you as well as his wards being placed will hurt you through invis
Final tip and prolly the most important, he destroys sheilds so eldrid are the most annoying thing to play against him. Hit him hard and fast and get out before the fight takes too long with and eldrid and his game turns to crap fast.