A beauty has boss and I overwhelmed by lust (9)
I believe the answer is:
humdinger
'a beauty' is the definition.
(both can mean an excellent example of something)
'boss and i overwhelmed by lust' is the wordplay.
'boss' becomes 'md' (I've seen this in other clues).
'and' is a charade indicator (letters next to each other).
'overwhelmed by' is an insertion indicator (I've seen this in other clues).
'lust' becomes 'hunger' (synonyms).
'md'+'i'='mdi'
'mdi' put within 'hunger' is 'HUMDINGER'.
'has' is the link.
(Other definitions for humdinger that I've seen before include "remind -ugh- of remarkable person or thing" , "One's brilliant" , "Peach" , "Excellent person or thing (colloq)" , "knockout" .)