I have no clue what plant I am in possession of! I got this cutting from a friend, and the mother plant was just a tiny bit bigger than the tallest leaf on this plant, and had a mature root system. In my opinion the plant resembles a monstera or philodendron swiss cheese, but the leaves on this little guy are a little more round compared to the heart-shape of the monstera/philo swiss, where the leaf meets the stem. The mother plant had no slits on any leaves; they all looked like the pictures here, big and small! Imgur Imgur Imgur (Edit: apparently inserting images is beyond me)
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It looks to me like a little baby Monstera. In Monsteras fenestration begins when they are about three feet, so you will have to wait to be completely sure. As for the leaves, well, they can be even more rounded: juvenile monstera plant - Google Search juvenile monstera plant - Google Search
It may be difficult to positively identify a juvenile plant. When it's older you can compare its characteristics with those of Monstera: Monstera deliciosa Liebm., Monstera deliciosa, Exotic Rainforest rare tropical plants.