Gone with mentor to travel around country (10)
I believe the answer is:
montenegro
'country' is the definition.
(I've seen this before)
'gone with mentor to travel' is the wordplay.
'with' says to put letters next to each other.
'to travel' indicates an anagram (I've seen 'travelling' mean this).
'gone'+'mentor'='gonementor'
'gonementor' anagrammed gives 'MONTENEGRO'.
'around' is the link.
(Other definitions for montenegro that I've seen before include "European country (bordering on 6)" , "Balkan republic" , "Balkan state" .)