Could always run a HPI check, not expensive and will / should cover
Outstanding finance
Stolen
Written-off
Stolen V5 document check
Vehicle Identity
Plate transfer
Number plate and VIN/chassis numbers
Ideally its best done before handing any money over but might put your mind at rest. Any accident damage that’s not been bad enough to write the car off wont show but quite often there are tell tail repair signs to look out for – getting a 3rd party inspection is also an option and should pick on on any notable issues.