Limb wood has a combination of tension wood and compression wood. The upper half of the limb, as it is growing, produces tension wood because the force of gravity is pulling it down while the limb itself wants to stay up; the closer to horizontal the limb grows the more tension wood produced. The lower half of the limb has compression wood (some say compression wood only happens with conifers but that is another discussion) in the same ratio (not volume) as the tension wood on the upper side. Cutting limb wood before the stresses of tension and compression are neutralized (years and years of air drying or many cycles of heat and steam in a kiln) will produce impressive bowing. Expect that a number of checks (splits) will develop as you try to dry it. I would limit my use of limb wood to very small pieces of well dried wood.