In realistic replication your body probably would not be continued, at least for a while. You'd have a digital clone that shares some memories, most values and is cognitively at your level or above. If the preservation part is well-enough and you continue to hold it important to actualize your past wish of getting a realistic clone, one day they may be able to use the cryonically frozen body & the scans of you that were taken when it was alive to re-anime it or to create a digital clone that would be much closer to you.

A commenter above pointed above that the body changes all the time. Getting replicated and having the old body die is almost the same what you had already gone through your whole, first biological life, but only at a larger scale. It does entirely replace the "hardware" (body) but most humans would agree that "they" are made of "personality, dreams, ideas, algorithms, memories, knowledge, logic, thinking, emotions, feeling, values" more than what computational medium these exhibit as long as it emulates what they have had in the past to some degree.