Fame about now, heading for notoriety (6)
I believe the answer is:
renown
'fame' is the definition.
('renown' can be a synonym of 'fame')
'about now heading for notoriety' is the wordplay.
'about' becomes 're' (regarding**).
'heading for' says to take the initial letters.
The initial letter of 'notoriety' is 'n'.
're'+'now'+'n'='RENOWN'
(Other definitions for renown that I've seen before include "Fame and public acclamation" , "Fame, respect" , "Celebrity, fame" , "Good reputation" , "Fame and eminence" .)