It's not a complete clean-up of the room, but I did a bit of it.
"It's not much of a clean-up, but I did clean a little bit of my room." という言い方も出来ます。ただ、"It's not much of a ~"とは少しネガティブなニュアンスがあるので、最初の"It's not"の部分を使って、"It's not a complete clean-up of the room"(部屋の完全の掃除ではないけれど)という言い方がいいかと思います。