Somewhere off the beaten track, young person starts to visit Roman city (6)
I believe the answer is:
bypath
'somewhere off the beaten track' is the definition.
(a minor pathway or track)
'young person starts to visit roman city' is the wordplay.
'starts' indicates taking the first letters.
'to visit' means one lot of letters goes inside another.
'roman city' becomes 'bath' (English city founded by the Romans).
The first letters of 'young person' is 'yp'.
'yp' going within 'bath' is 'BYPATH'.
(Other definitions for bypath that I've seen before include "Minor route" , "Secluded way" .)