If back pocket carry is preferred and the LCP is a little too tall for the pocket, there are a couple other guns to consider. They are shorter and less likely to ever show at the top of the pocket. The Kahr P380 or CW380 is about 3/8 inch shorter than the LCP and could make a difference in a back pocket. The smallest is a Seecamp that is a full 3/4 inch shorter than the LCP. The Seecamp is made in .22, .32 and .380 calibers. The gun is the exact same size for all three calibers. IMO, it is the ultimate pocket gun. Seecamp's are more expensive and an all stainless steel. Kahr's are more expensive as well and especially the P380.
I pocket carried front pocket for a year or so and it worked well. My biggest problem was all the other junk I had to carry in the left front pocket. Money clip, change, pocket knife, keys, chap stick in the winter, etc. So I moved gun to right rear and balanced all the junk in the front pockets. Wallet to left rear. I had never carried wallet left rear and it took me several months to learn to reach left for my wallet. I hit the top of the gun many times reaching right for what used to be my wallet. Never accidentally pulled out the wallet holster.
Then I decided to try an IWB holster, as for me, it gives easier access, especially driving and seated. I quickly learned that I could carry a larger gun IWB than a .380. Also this was many years ago when none of the single stack smaller/compact guns were even produced. When the LC9 came out it was a dream to carry IWB, because it was so thin. Since then numerous models have been introduced like the Sig P938, DB9, Kahr PM9, S&W Shield, Glock 43, Kimber Solo, XDS (9mm and .45), etc. Lots of options today, compared to 10 years ago.
The LCP started a huge drive for smaller concealable guns. Then there was a shift to small, but bigger calibers like the ones mentioned previously. Then there was a lot of single stack guns produced.
I found that thinner guns like the single stack options are pretty easy too carry and conceal, mostly IWB. I'm a believer in carrying the biggest caliber gun you can conceal and shoot accurately. For me it is lager caliber single stack guns, rather than smaller .380's. For IWB, the most important thing (IMO) is the thickness of the gun and the grip size. Length is not that important to me for IWB carry. So now I carry a larger caliber gun IWB and my Seecamp as a bug in my right rear pocket, since it is so easy to have and hide.