The LCP is probably good to go. I've had a couple FTF's with the LC9 HP rounds. Don't carry HP in the .380, but do in the 9mm. I pocket carry the LC9 almost every day during the summer and have to trust it to chamber a round every single time. I will say both times this happened was when loading the first round. Since I carry that gun with a round chambered, I'm only a little concerned. Also, this happened with Hornady Critical Defense ammo. Hasn't happened with Federal Hydrashok. I don't use that Hornady ammo in any of my guns anymore. They make one h$ll of a rifle ammo!
Yea though I walk through the valley of the shadow of death, I will fear no evil. My rod is a GLOCK and it comforts me