Yeah it's a miniature 1911, ask any gun dealer or owner. It does have a safety on the left side. Just like a 1911, you carry it "cocked and locked", which means round chambered, hammer back, safety engaged. So it has to have a safety. There are other safety features as well, just like on a real 1911. It's the real thing, not a toy, it shoots well and is an ideal pocket gun. A very similar gun is the Colt Mustang, and of course the 1911 style from which the Sig P938 is derived, the P238.

However if you can't find $800 laying around, try the Glock 27 Gen 4. Sounds like a basic gun is what you want. The Glock 27 is a bit large being chambered at .40 S&W, which is a pretty big handgun bullet. I would also consider revolvers- the .38 S&W, Taurus, CZ, and Ruger revolvers are ideal pocket guns because they are cheap, safe, and effective. Kahrs, Sigs, most Colts, many S&W slide guns are mid-to-high cost guns because they are harder to manufacture. The main advantages of slide guns in general are the higher round count and quicker reload time, but these things may not matter to you.