I just picked up a Python IPHT XS1. It's a cordura sewn holster with a prominent Made in Mexico label, about $12.95 at my local dealer. Lightly padded, it's a universal rated, and labeled for the .380 Sigma. The counter guy demo'd it with a Keltec, which could take the removable Velcro'd thumbbreak snap strap over the slide. The LCP will not work that way as the back of the slide is a lot more sloped.
The holster is a sewn "taco" with fleece interior, male Velcro sewn outside only on the vertical edges, and a good quality belt clip in black steel. To get it in use, slip the tight clip through the Velcro with the "button" on the clip to the outside. Insert pistol, stick the male snap down on the Veclro to wrap the grip, then the female thumbbreak snap on the other side. Now the hard part - the clip masks most of the available Velcro. I wound up running it under the clip at a steep angle to clear it.
Now just fight the clip onto your waistband and run the belt over it. It didn't move around at all on my first walkabout with it, and stayed put. I located it back on my right hip covered by a fleece zip neck and coat.
This holster is a universal design, and ambidextrous, so there is a compromise in the design. The price point also doesn't allow for a full wrap of Velcro, just sewn patches that do limit the snap strap options. It's a good example of what happens when you take a working larger version of something and miniaturize it - it doesn't always come out optimum.
But, what the heck, it was 13 and change, not bad for post holiday cash flow in a recession. A light suede holster might dig into your hip and wallet a lot more painfully. For light use in a slow retrieve position, it does offer retention and budget until the learning curve gets flatter.