Stop oddly legitimate request (7)
I believe the answer is:
solicit
'request' is the definition.
(soliciting is a kind of requesting)
'stop oddly legitimate' is the wordplay.
'oddly' indicates alternate letters.
'legitimate' becomes 'licit' ('licit' can be a synonym of 'legitimate').
The alternating letters of 'stop' are 'so'.
'so'+'licit'='SOLICIT'
(Other definitions for solicit that I've seen before include "Petition - importune" , "Beg - hustle" , "Ask earnestly about colitis" , "Proposition" , "Ask (favour)" .)