Name embedded in flashy decoration (7)
I believe the answer is:
garnish
'decoration' is the definition.
(garnish is a kind of decoration)
'name embedded in flashy' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'embedded in' is an insertion indicator (I've seen this in other clues).
'flashy' becomes 'garish' (synonyms).
'n' going into 'garish' is 'GARNISH'.
(Other definitions for garnish that I've seen before include "Decorate food for table" , "Decorate, embellish" , "Adorn a dish" , "Add a trimming to a dish" , "Decorate with herbs" .)