Just get a clear barbell, It hides the piercing when you need to hide from parents + work ect.. You can buy them online or in a store like Claires, Icing or just talk to the person whos putting in your piercing and consulate them.
How To Hide Your Monroe Piercing?
I just put a bandaid over mine like the little ones they make...who is going to know what it is...unless they are rediculous and ask you to take the bandaid off.
Why did you get it if you want to hide it? Take it out and forget about it, hope it doesn't leave a scar.