The concept of Clarice being 'watched' by other people, is evident in several scenes in the movie. Examples of these scenes are given below.
Just prior to the autopsy in West Virginia, there is a scene in which a group of State Police officers, all male, are standing in a home's living room, surrounding Clarice; some of them are looking at her.
In the scene in Jame Gumb's basement late in the movie, as Gumb approaches Starling from behind, we see Clarice through his eyes while he is wearing night vision goggles.
At the movie's ending, in the scene showing the FBI academy graduation ceremony, the audience at the ceremony (above left) watches Clarice receive her badge (above right).