I have a copper cover that goes on top of a computer mouse and has some corrosion. I'm wondering if the corroded area is poisonous hazard to my health.
I think copper does form toxic compounds so you should be careful.
That tiny amount would not create any hazard, it would only be copper foil with low toxicity. Its generally beryllium copper and arsenic copper that can be toxic and I doubt that would have been used on a mouse cover, pure copper bracelets have been worn for centuries will no major ill effects ( and probably no health benefits either). Those hazards that are well known come from breathing in copper dust or fume compounds, or by absorbing too much copper in your diet - from using unlined copper pans for all cooking. However, if you are concerned then stop using it.