Despite the promising title, this cartoon does not see Tom and Jerry encounter the mythical abominable snowman. Instead, it has the cat and mouse doing their usual predictable chase routine in a snowy setting, with the addition of a St.Bernard dog on hand to thaw Tom out with some brandy whenever he comes a cropper.
The third T&J episode to be directed by Abe Levitow, The A-Tom-inable Snowman skates dangerously close to Gene Deitch levels of cruddiness: the drawing is scrappy, the jokes are extremely poor and the timing is terrible. After much mundanity, the cartoon suddenly switches to a tropical locale for a baffling finish, Tom getting drunk on brandy for a third time (it wasn't funny the first two times!).