accessible digital recorder with editing

[Fanus]

Hello Dane & list
Does one get an accessible digital recorder with editing capabilities. A friend 
of mine is a member of a choir. The choir master records the songs for her but 
everytime she makes a mistake she must start from scratch resulting in the 
creation of a new file.  They are looking for a recorder which allows for 
stopping the recording and rewind to just before the error and then resume. 
Does one get such a recorder? I suppose it could be handy for lawyers and 
doctors.
Regards
Fanus