Please run and go by (6)
I believe the answer is:
elapse
'go by' is the definition.
('elapse' can be a synonym of 'go by')
'please run' is the wordplay.
'run' is an anagram indicator.
'please' is an anagram of 'ELAPSE'.
'and' is the link.
(Other definitions for elapse that I've seen before include "'Pass by, as time (6)'" , "run by" , "Slip away" , "Passing" , "Glide by" .)