I've got a Taric one. I once got raged at by my Vayne carry for accidentally KSing her. I mean, I've seen people get mad before, but because I dared to use my W in a fight, only to have it kill someone, she seemed to think it was fine to insult me, my family, and any of my future offspring by wishing a lot of terrible diseases on us. I told her that I was sorry, but she continued berating me. Our mid-laner even told her to lay off, but she didn't. I am not a cruel or vindictive person, most days, but she was a particularly rude individual. That was when I decided to bind Taric's joke to my third mouse button.
I spammed "Gems. Gems are truly outrageous. They are truly, truly, TRULY... Outrageous!" All. Game. Long. Vayne continued to insult me, but my mid-laner and jungler seemed to find the situation hilarious, and since I was actually contributing a lot to the team in other ways, they defended me and my gems. Even the enemy team made a few jokes about it as the game went on.
In other cases when I've had a whiny ADC, I've warned them that if they continued, I'd go support another lane. Example from a fairly recent game...
An ally has been slain!
killed
: Omfg. ^^^^ing Leona, why didn't you go in?
: I pinged you to fall back. I had 40 mana and less than 200 hp, while the enemies had >90% hp.
: You left me to 2v1, ^^^^ing idiot.
: Correction: You ran into a 2v1 without me, and didn't listen to my pings. You got Sona ulted, Jinx Zap!'d, you tried to run, then flashed into a wall. If I went in, we were both dead.
: Top lel.
: ^^^^ you.
: Just stop. What's done is done.
: ^^^^ing ^^^^ support.
: Sorry, but I tried to warn you. >_>
: You mad, Cait? ;)
: No. ^^^^ this ^^^^ Leo. You take my CS, you leave me to die, you don't ward. GG, fail support, fail lane.
: I have 12 CS and have gotten all of them with Targon's. I can only put 3 wards at a time.
: ^^^^ you with your ^^^^ing shield.
: Okay. Hey, Zed. Want me to help with mid-lane? I'm obviously useless here, but might have better luck with you. Light/Shadow and all that.
: Sure. Cait confirmed mad. ;)
After I left the lane, Cait's 3/1/0 became 3/4/1, while Zed's 1/1/0 became 4/1/1 and my 0/0/3 became 1/1/6. Cait continued to rage and blame me, but Zed and I had fun in mid. When teamfights started, I used
on him, ulted the enemy team, and watched him melt the enemy carries. Any stragglers were E/Q'd, and promptly eliminated.