Reach notorious place of exile, returning when feasible (10)
I believe the answer is:
attainable
'feasible' is the definition.
(thesaurus)
'reach notorious place of' is the wordplay.
'reach' becomes 'attain' (synonyms).
'notorious place of' becomes 'able' (I am not sure about this - if you are sure you should believe this answer much more).
'attain'+'able'='ATTAINABLE'
'exile returning when' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for attainable that I've seen before include "that may be arrived at" , "Within reach" , "Reachable" .)