This came up during today's session. Long Rest (p. 186, PHB) says:
A long rest is a period of extended downtime, at least 8 hours long, during which a character sleeps or performs light activity: reading, talking, eating, or standing watch for no more than 2 hours.
So you can stand watch during a long rest. However, short rest says:
A short rest is a period of downtime, at least 1 hour long, during which a character does nothing more strenuous than eating, drinking, reading, and tending to wounds.
No mention of standing watch. Is there anything else stated in the rules that clarifies if you can stand watch during a short rest, as you can during a long rest?
(I ruled that you can to keep the game moving and avoid an extended discussion and rules search as there were no random encounters anyways, so it did not matter, but told the team I'll find out afterwards what the official rules say).