Today I released the initial version of a Vue2Leaflet plugin to provide a simple wrapper of the polyline measurement tool as a Vue2Leaflet plugin, via the vue2-leaflet-polyline-measure component. Usage is simple:

<l-map>
  <l-polyline-measure :options="{ showUnitControl: true }" position="bottomright"/>
  <!-- other map components -->
</l-map>

The options  object is passed directly to the underlying library, so can be any of the polyline measurement options. The position  parameter places the control in a corner of the map based on the available Leaflet control options.