"Do go on..." (8)
'do go on' is the definition.
('continue' can be a synonym of 'go on')
This is the entire clue.
(Other definitions for continue that I've seen before include "Resume" , "Last" , "Persist" , "Proceed" , "Don't stop, keep going" .)
(Other definitions for and that I've seen before include "Also" , "it needs wholly positive input for positive result" , "In addition" , "Together with" , "& 18 You bet!" .)