Beat narrowly, with "out" (4)
I believe the answer is:
edge
<span class="explanation-format__ClueExplanation">'<span class="explanation-format__original">beat narrowly with out</span>' is the definition.<br/ ><span class="explanation-format__explanation">(I've seen this in another clue)</span><br/ ><br/ >This is all the clue.<br/ ></span>
(Other definitions for edge that I've seen before include "Border - meeting place" , "small advantage" , "Upper hand" , "Rim,border" , "Force" .)