My thought is any adhesive in addition to screws won't hurt anything. Just make sure you really like the medicine cabinet and the location you put it in because the adhesive may make it hard to remove the cabinet if you change your mind. I wouldn't rely on adhesive only for mounting the cabinet.
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Steve & Nancy 
2005 Itasca Sunrise 33', W20 Chassis, Ultrapower, Henderson Trac Bar
2012 Chevy Captiva Sport AWD, ReadyBrute Elite Tow Bar, Blue Ox Base Plate, Protect-A-Tow
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