Thank you everyone for your help.
To everyone who thinks there's more to the story-- you're right I guess. The policy is set up so that there's a random question you have to answer in order to get points. The prof looked back and my friend and I had similar answers all semester, which is totally normal because he told us at the beginning of the year that collaboration is allowed on clicker questions. He used this as evidence that we had been switching clickers for the entire semester.
I finally posted this because I learned that you have to report IAs on applications. I thought since May (when I got my honor board final statement) that I would just roll with the F and hopefully make up for it in my GPA. Even though this isn't showing up on my transcript, it's still in my judicial record-- which means I have to report it right? My understanding is that the professor "recommended the punishment" and the school "enforced it". If I explain this properly in the section that asks for previous IAs, do I still have a chance at med school?
I didn't bring this up to the dean because I didn't know I could. I appealed to the appeals board for the punishment being too high but they stood by it. The statement said "this is the last avenue for appeals, after this all decisions are final". Should I bring it up to the dean next year? The hearing officer in charge of my case tried convincing the professor and failed. Please help.