I saw this happen a lot on the older Frigidaire models, its easy to fix, just take out the ice bucket, then make sure the metal rod arm that extends out from the back of the bucket moves up and down freely, sometimes ice can jam it.
Also check that white plunger that the metal rod arm sits in, its located inside the freezer where the ice dispenser bucket sits, to the right of the auger motor, make sure that white plunger moves up and down freely.
oh my gosh - thank you, Jake! My problem was that the ice bucket wasn't pushed back far enough to sit on the plunger. The diagram and your explanation helped me see what was going on. Awesome! Feeling so mighty and successful!!