IfOn windows environnement, if you installed qgisQgis with OSGeoOSGeoW setup you have access to a shell which can run directly gdal/ogr.
to run a clic processing use this command
ogr2ogr -clipsrc clip_polygon.shp output.shp input.shp
replace
replace output and input with your files name and their path.
If you need more details about OSGEOW have a look to this page