Publicity one found in bank right away (7)
I believe the answer is:
readily
'right away' is the definition.
(thesaurus)
'publicity one found in bank' is the wordplay.
'publicity' becomes 'ad' (short for advert).
'one' becomes 'i' (Roman numeral).
'found in' indicates putting letters inside.
'bank' becomes 'rely' (to bank on something is to rely on it).
'ad'+'i'='adi'
'adi' going inside 'rely' is 'READILY'.
(Other definitions for readily that I've seen before include "Without demur" , "Promptly; willingly" , "Without difficulty or delay" , "Willingly, quickly" , "in a willing manner" .)