This statement is correct, but we usually only say things such as this when we are speaking casually. If i were to ask you, "Where did she move?" And you responded with this answer then this would be correct. BUT if you were writing a paper or speaking to someone professionally you would use a more complete sentence: "She moved to a job with a higher salary than she used to make." Or if we were casually talking and i asked "who do you think is taller?" And you said "she is taller" after i had just mentioned the said person then this would also be correct. These phrases really just depend on the context of the situation.