Fame of European currently in Royal Navy (6)
I believe the answer is:
renown
'fame' is the definition.
('renown' can be a synonym of 'fame')
'european currently in royal navy' is the wordplay.
'european' becomes 'e' (abbreviation e.g. EU).
'currently' becomes 'now' (I've seen this in other clues).
'in' indicates putting letters inside.
'royal navy' becomes 'rn'.
'e'+'now'='enow'
'enow' inserted within 'rn' is 'RENOWN'.
'of' is the link.
(Other definitions for renown that I've seen before include "Fame, respect" , "Celebrity, fame" , "Plane's maximum width" , "High reputation, fame" , "Fame and eminence" .)