The LCP is very similar to the Kel-Tec P3AT. I've owned the latter. My gun would do the same thing with wide-mouthed hollowpoints like Cor-Bon but would feed JHP's with a more rounded profile without trouble. When the Cor-Bon's wouldn't feed fully, it seemed all I had to do is tap the rear of the slide with my thumb and it would finish the process. I'd suggest using a Federal Premium Defense type JHP when carrying to avoid this issue. Don't give up on the LCP -I've handled them and they are fine pistols. Small semi-auto's are notoriously fussy and require some rounds (and good cleaning) to function at the top of their game. Hang in there.