Are you sure you don't mean a shovel hook?
Kind of like a half hook, half uppercut right?
I always throw my body shots like that. Throwing a hook straight across to the body is much less effective than a well-placed shovel hook. When you dig with those shovel hooks, if you hit him on the right side, you get a liver shot, which will put him down and out, trust me. If you hit his left side, you'll get the spleen. Not as painful as the liver but it still hurts. Also, you could hit the floating ribs, and if you can throw hard shots, those break fairly easy in comparison to the rest of the rib cage. Roy Jones, Jr. KOed Virgil Hill with a big right hook to the ribs, and broke his ribs.
Alright, setting it up. First things first, if you want to hit to the body, you need to distract his head or legs (head is really best). So start off with a combination to the head. For example, jab-cross-left shovel hook. Simple but effective combination. Another good one is a jab-cross-left hook-left shovel hook. It works well because he doesn't expect you to double up on the left side.
Just make sure you don't half-ass your shots to the head, or else he knows it's a setup. And when you get in really close for body shots and uppercuts, hunch your back and roll your shoulders forward, and touch your hands to your head. Whenever he tries to hit you with shots, shield them with your forearms and elbows. Trust me; this works really well. I use it in sparring all the time. If I'm not doing so well on the outside range, I'll get too close for him to really get a good attack on me, and then as soon as he stops throwing a flurry because I'm close, I start whacking him with left hooks to the head and body. Works awesome.