What is another word for under supervision?
Pronunciation: [ˌʌndə suːpəvˈɪʒən] (IPA) 
When you're being monitored or have someone to answer to, it's known as being "under supervision." However, there are many different phrases that can be used in place of this. For instance, you might refer to it as being "watched over," "supervised closely," or "subject to oversight." Additionally, you might say that you're "being monitored," "checked up on," or "kept tabs on." These all mean the same thing: that someone is keeping a careful eye on you and making sure you're following the rules. Whether you prefer to say that you're "under supervision" or use one of these other phrases, the point remains the same.
