Seek office (3)
I believe the answer is:
<span class="explanation-format__ClueExplanation">'<span class="explanation-format__original">seek office</span>' is the definition.<br/ ><span class="explanation-format__explanation">(as in running for public office)</span><br/ ><br/ >This is the entire clue.<br/ ></span>
(Other definitions for run that I've seen before include "Enter a race" , "Manage (eg, a company)" , "work" , "faster pace needed" , "A point scored in cricket" .)