More than one meaning-
The term is common in Caribbean Spanish in particular (especially Cuba).
Appropriate synonyms are 'deleite' and 'dulzura' in Spanish.
Sabrosura is a term used in various contexts. I will give you a common one, music. You will hear it amply used in tropical music especially salsa 'con sabrosura'.
However, it is also used as a 'piropo' (compliment) by men when referring to a beautiful woman.
If you are thinking of a different meaning you would have to specify the context in which it was used.
-LDG.
