I don't think there is an "issued" watch, but they probably wear what most fits the environment and their specific job.
Some good tactical watches include Casio G-Shock, Luminox, and 5.11 Tactical.
WRISTWATCH
Gucci
Cartoer
It is a wristwatch
Bulava Precisionist
rolex datejust 18k
TAG Heuer Carrera
They may wear a suit, a combat uniform, or a disguise.
Apparently he carried a pocket watch, no wristwatch.
ddd
Luminox watch series
Without specialised knowledge you do not. You take it to a horologist or watchmaker.