(covers information from several alternate timelines)
A wristwatch was a timepiece that was worn on the wrist. One piece of a watch is the watch dial, that contains the hour and minute markers of a clock. (SNW: "Tomorrow and Tomorrow and Tomorrow")
In 1953, Jimmy stole a wristwatch and offered it to Benny Russell. Benny warned Jimmy that he would get in trouble one day for his actions. (DS9: "Far Beyond the Stars")
In 1968, Gary Seven wore a Rolex GMT Master with a Pepsi bezel. (TOS: "Assignment: Earth"; [1])
In 2022, La'an Noonien-Singh removed the crystal from a 1980s wristwatch. They hoped they could expose the decayed isotopes of tritium inside the lume of the watch hands/dial to search for a reactor in Toronto. (SNW: "Tomorrow and Tomorrow and Tomorrow")
Bernardo Calvera wore a wristwatch. (DS9: "Past Tense, Part I")
In 2254, a female crew member aboard the USS Enterprise was wearing a wristwatch while off duty. (TOS: "The Cage")
In 2263 of the alternate reality, Ben wore a wristwatch. (Star Trek Beyond)
In 2265, Lee Kelso wore a wristwatch while on duty at the helm. (TOS: "Where No Man Has Gone Before")
In 2267, Korob wore a wristwatch. (TOS: "Catspaw")
In 2364, Doctor Beverly Crusher wore a wristwatch while reviving Yareena in a transporter room aboard the USS Enterprise-D. (TNG: "Code of Honor")
Vic Fontaine wore a wristwatch, as did Nog during the cracking of Frankie Eyes' safe. (DS9: "Badda-Bing, Badda-Bang")