I'm in my 2nd week of anesthesia now.
I'm sure the people you will rotate with in the anesthesia department have had dental residents before. They'll probably know what to let you do. I guess it depends on your hospital. What have the 2nd years had to say about it?
For mine, I was masking and intubating from the very first patient, day 1. It's definitely not a good feeling when u can hear the O2 sats dropping as you struggle to find the trachea, but that's really the only way to learn. Someone can explain it to you all day, but until you get in it's not the same. At this point, I'm expected to set up for every case (pull all meds, get blades, masks, set up lines, etc), mask them and induce once they come in and intubate. I'm still learning maintenance, but eventually the dental residents here run cases independently under the eye of a CRNA or anesth. for the entire case.
My main priority in anesthesia is airway management including intubation. That is what I will need in practice should I choose to sedate w/ CH, etc. It's nice learning to induce w/ sevo and handle the rest but that stuff we'll never use again.