So I just installed a new 3 clutch LSD w/ 40% lock. I have never driven a car with a clutch lsd - only torsen. Is it normal for the car to feel "funny" when accelerating out of corners? Like if I give it a lot of gas the rear end comes. If I drive normally then it feels just as before. And medium amount of gas and like it just feels weird, hard to explain.

The more lock up you have, the more it will tend to push when you're on the throttle until the rear breaks loose. Clutch type LSDs try to keep the driving wheels turning at the same speed, where a torsen will allow for each wheel to be at a different speed but still splitting power to each wheel. The higher the lock up percentage, the closer to a locked rear end you have and you also get more on-throttle understeer.

The more lock up you have, the more it will tend to push when you're on the throttle until the rear breaks loose. Clutch type LSDs try to keep the driving wheels turning at the same speed, where a torsen will allow for each wheel to be at a different speed but still splitting power to each wheel. The higher the lock up percentage, the closer to a locked rear end you have and you also get more on-throttle understeer.

So that feeling was the LSD doing its work and thus pushing? I am just a little curious if that is how I should be driving on my next AutoX session.

It will take some runs to get used to the new diff and you may have to tweek your driving style a bit. If you are still trying to get the car turned when the throttle is being rolled on during corner exit, you will feel understeer. It would be best to have the turning done before leaning on the throttle hard. The best situation would be for you to be straightening out the wheel while the throttle goes to the floor. Then a slight push isn't a big deal since you're straightening the car anyway.