Just finished a game where we were laning against a heimer alistar combo. It was impossible to make any progress, they couldn't even be ganked 4v2. Both had heal, they both went for innervating locket, allistar just spammed his hero heal constantly, they used summoner heal when they ran into any trouble. If we targeted a turret we had to fight through the hero damage, trying to deal enough to kill this turrent through alistars heals. If we managed it, right before it died Heimer would upgrade his turrent and put it back to full health. We then would have to continue to beat the **** out of it with alistar healing it again, if it got low, summoner heal, got low again, summoner heal again. It was pointless to target the turrets individually. Targetting the heroes was useless due to the amount of heal they have in the lane and the fact they could fall back into the farm of 6 turrets that we could not kill. I am experienced in both DotA and LoL, i pulled a consistent 60-65% win ratio over the 150 games before reset. This isn't a random noob QQing, this is a huge problem. If you can think of any tactics to try to counter this, please, post them, but remember you cant know how it will work out untill you face this combo with an organised group.
Both have heal summoner spell and innervating locket, makes turrets invincible.