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Yes, if you complete your studies in the UK and have spent the whole of your year of study in the UK on a Student visa, you are eligible to apply for the Graduate visa.  Please ask the Visa and Immigration team if you would like further advice.    
Keywords: graduate visa, visa, visa applcation, PSW, Post-Study, Post Study, Work, work visa, Post-Study Work, Post Study Work, Post-study work visa, Post study Work Visa