"Lock" is some what of a misnomer. Unless of course you are talking about off road 4X4's.
There is a reason they are called LIMITED SLIP differentials. Because they LIMIT the amount one axle can SLIP (Spin) in comparison to the other. When you drive around a corner at normal speed, the outside wheel needs to turn more than the inside. Under normal conditions with any kind of differential this isn't an issue. but if you have either no diff, or a locked or welded diff, then the outside tire will be forced to turn the same rate as the inside. This is why if you have every driven a vehicle with a locked /welded /sold diff/axle, the vehicle is very hard to turn and one or more wheels will skip, studder, bounce, ect until you complete the turn.
Now, on a power on, or slick condition, the limited slip comes more into play.When one wheel starts to spin excessively more than the other, the limited slip detects this, either manically, or via sophisticated electronic dohickys.Now, this does not mean that with your clutch LSD that when it engages you will now have a "LOCKED" diff, what this means is, that your tire that wants to spin free is limited to a portion of the force delivered to the other axle. This wheel may spin more, than the other, but it is not free to roast the tire, while the inside wheel continues on as if there is nothing going on. When a LSD engages, it doesn't so much slow down the axle that wants all the power, but it diverts a portion of the incoming power to the wheel that is still in full contact with the road surface, and otherwise not receiving any power. otherwise the outside wheel would get all of the power, while the inside wheel would get none. And that is why it is a LIMITED SLIP differential
Ahhh **** it, read this (BTW, this took about 5 seconds to find with a google search)Clutchhttp://auto.howstuffworks.com/differential4.htmGeneralhttp://
www.howstuffworks.com/differential.htmWhat is a diffhttp://auto.howstuffworks.com/differential1.htmOpen Diffshttp://auto.howstuffworks.com/differential2.htmDiffs and tractionshttp://auto.howstuffworks.com/differential3.htmViscous Diffshttp://auto.howstuffworks.com/differential5.htmLocking and torsen (helical, gear)
http://auto.howstuffworks.com/differential6.htm
Plus the other link, in my previous post.