To share a video link that will begin playback at a specific point, add #t= to the end of the URL followed by the timecode of where you'd like playback to begin.
Here is an example where playback is queued up one minute and two seconds into the video: https://vimeo.com/81400335#t=1m2s
You can also use this parameter for embedded videos. Add #t=(timestamp here) to the end of the player URL in your embed code. For example:
<iframe src="https://player.vimeo.com/video/81400335#t=1m2s" width="640" height="360" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>
If you'd like your video to autoplay from the specified timestamp while embedded, you'll need to add the ?autoplay=1 parameter before #t. Here is an example:
<iframe src="https://player.vimeo.com/video/81400335?autoplay=1#t=1m2s" width="640" height="360" frameborder="0" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>
Note: Autoplay may be blocked by certain browsers such as Chrome and Safari. Learn more here.