For what it's worth, I have a samll simple but rugged 300m waterproof watch in my backpack-sized kit. The amount of space/weight it comsumes is basically nothing. I don't always wear a watch these days (although I have my eye on a cool Suunto Xlander that may change that in the future) so I figure having a simple watch in my kit is nice for telling time once the battery on my cell phone (my current edc watch) wears down... which of course won't take long.
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Learn to improvise everything.