Compress
Make the file smaller while holding on to quality.
Stabilize reads how far the camera moved from one frame to the next, then re-renders the picture to cancel the shake it found, cropping in a little to do it.
Video (MP4, MKV, MOV, AVI, WEBM, M4V, MPG, WMV and FLV).
Cancelling the shake moves the frame around under the crop; a small, constant zoom is what keeps the moving edges from showing as black borders. Light keeps it to a minimum.
Very large, fast movement -- running, a knock to the camera, a whip pan -- is a different problem from handheld wobble and does not correct the same way. Try Strong; for a clip that is still shaky, a shorter section around the worst part gives the analysis pass less to track.
Make the file smaller while holding on to quality.
Rewrite the file into another format.
Keep one section, or take several out of the middle.
Play several files back to back as one.