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Fred-
 
I found that I can take an inexpensive digital stopwatch/alarm, or wristwatch, 
and velcro it to the handle of the sextant such that the stop/start button is 
under my thumb. It becomes fairly easy then to start the stopwatch, hacked to 
some even minute or on the hour, and place it on the sextant. Then you can 
squeeze the start/stop button (or lap button) to stop the count as you sight.
 Note the time, log that with your reading, and hit the start/lap button again 
and the stopwatch will continue displaying time from when it was hacked. You 
can repeat this (once you've figured out what button makes lap readings 
instead of stopping the whole clock) so that all you times are taken from 
one offset. It may take you 1/2 second from the time you think "now" to when 
you've squeezed the button fully, but I think that's still going to be 
awfully good timing.
 I note that some of the sextants which provide for internal illumination have 
a "trigger" in the handle which apparently can trigger something else as well 
as the light, but haven't seen clock accessories to take advantage of this.

   

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