No you don't need a new personal statement for Clearing - unless you've changed your mind on which course or subject you want to study.
Your original statement will have all the details in there. However, one of the useful university Clearing tips you should take away is to update the university on any work experience or qualifications you've had since you completed your initial personal statement.
It’s also a good idea to have a short explanation prepared in case you’re asked why you’re interested in the course, especially if:
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You didn’t apply earlier in the year
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You’ve changed your course or subject
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You’re applying based on new or unexpected results
Some universities may ask for this during a call or via a short form. But you won’t need to upload a full statement on UCAS during Clearing.