I'm a student on a medical course and whilst my DBS isn't exactly squeaky clean (one conviction is on there from over 24 years ago!) you should be aware that any conviction never falls off the radar for enhanced DBS purposes which is what every medical job will require if it's client facing....
You should be aware that this is not correct. The law changed nearly two years ago and many minor old convictions no longer show up on DBS checks.
DBS Filtering Guidance