The LCP is almost identical to the Kel Tec P3AT. I carry mine (P3AT) in my front left pocket (I'm left-handed). I installed an ARMALITE laser unit on mine, and it "prints" in my pocket almost exactly like a wallet. I've tried a couple of pocket holsters, but haven't found one yet that allows me to draw quickly without pulling the holster out along with my P3AT.
I don't have a LCP, but I have used these pocket holster for both a PPK/S and a Glock 26. They are extremely well made and make drawing the gun out of your pocket very easy, plus the way they are designed helps to insure your holster stays in the pocket.
Works great, gun always comes out and the holster stays in, even with the Crimson Trace laser on mine.
I can't do the front pocket thing, i have too much in my front pockets already plus for me it prints like crazy because i wear normal jeans. In the back it looks just like a wallet to most people and never gets a second look.
I also personally didn't want a clip because even though the trigger is heavy, i never want my trigger exposed in my pocket, seems like not wearing a seatbelt...it might not kill you, but you are doing nothing to stop it from happening.