A bit of asparagus had fresh new flavour (9)
I believe the answer is:
spearmint
'flavour' is the definition.
(I know that Spearmint is a flavour)
'a bit of asparagus had fresh new' is the wordplay.
'a bit of asparagus' becomes 'spear' (I've seen this before).
'had' says to put letters next to each other.
'fresh new' becomes 'mint' (I've seen this before. I am not sure about the 'fresh' bit.).
'spear'+'mint'='SPEARMINT'
Can you help me to learn more?
(Other definitions for spearmint that I've seen before include "fresh flavour" , "Garden flavouring" , "Strongly flavoured herb" , "Herb used for flavouring" , "Aromatic herb" .)