Devout Cockney crossing green in full view (7)
I believe the answer is:
overtly
'in full view' is the definition.
(overtly can mean publicly or visibly)
'devout cockney crossing green' is the wordplay.
'devout cockney' becomes ''oly' ('holy' - devout means holy or religious - said with the 'H' dropped - a cockney accent.).
'crossing' is an insertion indicator.
'green' becomes 'vert' (I've seen this before).
'oly' enclosing 'vert' is 'OVERTLY'.
(Other definitions for overtly that I've seen before include "no attempt at concealment" , "openly on view" , "in the public eye" , "In an open manner" , "clearly!" .)