This is an above-average pre-1948 Bugs Bunny cartoon, one of my earlier favorites.
The story is better than the majority, plus it's completely new. Bugs is the innocent victim here. Often, he antagonizes the predator as well. But here he chooses evasive action.
The animation is great, I like the way they drew the manager. Bugs Bunny is basic, he still has to evolve quite a bit. The store is done in great detail. Kudos to the team.
The ending is great, and the jokes are good throughout: Bugs dresses not only as a woman, but both hunter and quarry run through different departments, wearing appropriate clothing when they reappear. That sequence was great.
Bugs manages to outwit his foe, but there's a nice twist in the tail at the end, with great penultimate and closing jokes.
The manager's character is huge, about fifteen times the size of Bugs, and the perfect foil. But he's not nearly as dim-witted as he seems. Bugs has reason to be genuinely insecure about his safety.
Hare Conditioned (1945) is a great cartoon, and I certainly recommend it.