While the original 1964 stop-motion animated television special "Rudolph the Red-Nosed Reindeer" and subsequent sequels feature Rudolph and Clarice as a couple, their relationship never progresses to marriage.
However, there are various fan-made content and even unofficial adaptations of the story where the characters do get married.
Therefore, there's no official movie with Rudolph and Clarice's wedding but there are several interpretations in other forms of media.