Beg to be included among Jobcentre attendees (7)
I believe the answer is:
entreat
'beg' is the definition.
(to entreat someone is to beg or plead)
'included among jobcentre attendees' is the wordplay.
'included among' indicates the answer is hidden within the clue.
'ENTREAT' is hidden within 'jobcentre attendees'.
'to be' acts as a link.
(Other definitions for entreat that I've seen before include "Pray" , "Sue" , "Request earnestly" , "Beg earnestly, plead with" , "Beg earnestly, appeal" .)