Long to enter court with distinction (6)
I believe the answer is:
cachet
'distinction' is the definition.
(I've seen this before)
'long to enter court' is the wordplay.
'long' becomes 'ache' (to long for something is to ache for it).
'to enter' means one lot of letters goes inside another.
'court' becomes 'ct' (abbreviation used in road names).
'ache' put within 'ct' is 'CACHET'.
'with' is the link.
(Other definitions for cachet that I've seen before include "(Mark of) distinction" , "Official seal on document" , "Prestige; a stamp" , "French prestige or distinguishing mark" , "Kudos" .)