Arguing on regular basis for continuous sequence (3)
I believe the answer is:
run
'continuous sequence' is the definition.
(a run or sequence of things)
'arguing on regular basis' is the wordplay.
'on regular basis' indicates alternate letters (letters selected at regular intervals).
The alternating letters of 'arguing' are 'RUN'.
'for' is the link.
(Other definitions for run that I've seen before include "Jog; manage" , "Manage (eg, a company)" , "Flow quickly" , "travel with > expedition" , "issue" .)