Very legitimate request (7)
I believe the answer is:
solicit
'request' is the definition.
(I know this)
'very legitimate' is the wordplay.
'very' becomes 'so' (both can mean 'extremely').
'legitimate' becomes 'licit' (synonyms).
'so'+'licit'='SOLICIT'
(Other definitions for solicit that I've seen before include "Ask (someone) for something" , "Make request (for business etc)" , "Ask (favour)" , "Request, induce" , "Drum up business" .)