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The skin on the surface of your fingers and toes is different from the skin covering the rest of your body. It’s thicker due to constant contact, abrasion, and pressure. Your fingertips and toetips contain networks of dense, tough connective tissue. This tough tissue anchors the outer skin to the underlying layers known as the “dermis.”
If you soak in water long enough, protective oils get depleted from your skin. Water can leak in to your skin after awhile. In warm water like in a bathtub or pool, the thick skin on your fingers and toes tends to absorb water and swell. But this swelling doesn’t happen uniformly.
Instead, the regions of skin that are most heavily anchored from below will remain lower than the more softened and swollen regions. The result – those temporary wrinkles on your fingers and toes. Other parts of your skin don’t have the same densely-reinforced design – so, no matter how much you soak, the rest of your skin tends to stay smooth.
ref:http://www.earthsky.org/faq/after-a-long-bath-why-do-your-fingertips-look-wrinkled
In your case the skin of your palms maybe devoid of oils(do spend a lot of time in the water during the day), so the same re-action is seen.