Throwing darts, gets honour and fame (7)
I believe the answer is:
stardom
'fame' is the definition.
(thesaurus)
'throwing darts gets honour' is the wordplay.
'throwing' indicates anagramming the letters.
'gets' is a charade indicator (letters next to each other).
'honour' becomes 'om' (**).
'darts' anagrammed gives 'stard'.
'stard'+'om'='STARDOM'
'and' is the link.
(Other definitions for stardom that I've seen before include "Status of a top actor" , "wide renown" , "Great celebrity" , "Stage or screen fame" , "Great fame" .)