Bachelor, graceful and carefree (6)
I believe the answer is:
blithe
'carefree' is the definition.
(synonyms)
'bachelor graceful' is the wordplay.
'bachelor' becomes 'B' (abbreviation e.g. BA=Bachelor of Arts).
'graceful' becomes 'lithe' (similar in meaning).
'b'+'lithe'='BLITHE'
'and' is the link.
(Other definitions for blithe that I've seen before include "Uncaring" , "Gay" , "light" , "Cheerful and carefree" , "Happy, without worries or cares" .)