What I was told were some important things to ask about:
1) Call (cover the service you are on vs the entire cp side)
2) Protected CP time (ie cant get pulled off your CP rotation to cover AP rotations)
3) Number of didactics, conferences, and any other board prep offered by the dept.
Also, if there are fellows within CP, you could potentially ask what is expected of them and how they impact resident education (do they have teaching responsibilities/help out with the service vs are they in a lab most of the time?)