They probably hate you too, for stepping on their property and expecting them to be easy to kill.
But, for real, though, If you let Kled back onto Skaarl, chances are you're being too slow to capitalize on knocking him off of her. Once Kled gets knocked off of Skaarl, he will do one of three things; back off, go in, or go in hard. If he's going in hard, he's probably going to get Skaarl back, or kill himself.
Since I don't know who it is you're playing against Kled, all I can do is give small, simple tidbits of advice that probably won't help much.
- When Kled is off Skaarl, stay back unless you're sure you can finish the job. Kled regains Courage at an alarming rate whenever he gets the liberty to hack and blast enemy champions, so unless you're ready to all-in and can afford the chance that he regains his lizard's Courage, keep your distance from him.
- Pay attention to his Violent Tendencies. On top of being able to build Courage fast, he can also lop off whole chunks of your health bar with his Violent Tendencies passive. Watch for the glow around his halberd, and unique, exaggerated auto-attack animations. You should generally only trade with Kled when this ability is down.
- Be mindful that when you do engage on Kled, he has both the advantage and disadvantage - he can't run away from you easily, but that doesn't matter because of his aforementioned Courage generation; getting too close to him will probably involve getting shot by all of his Pocket Pistol pellets. Which, as you probably know from experience, builds a lot of Courage.
- Be ready for any and every engagement to involve Kled remounting Skaarl. Unless you can see that he has the Frayed Nerves debuff, he will likely regain Skaarl unless you can manage to gank or outplay him, and once he regains Skaarl, you're going to be ran down. Accepting Kled remounting is just one of those things you have to do - just like accepting losing your tower first against Nasus/Yorick.
Not sure how much this'll help, but I hope it does.
