CF 380 is a .380 ACP pistol made by Hi-Point. A bit clunky, but a reputation for good function at a low cost. IIRC, they are blow-back which requires a bigger, heavier slide. Not much of a discount since list is under $ 200 for most of the versions.
OP you could probably find a 9MM the same size. I carry a .380 when I exercise walk in gym shorts, a Beretta Pico. It is quite small and carries easily but when I am in street clothes then it's 9MM or greater.