die Armbanduhr
wristwatch
A watch worn on the wrist with the help of a strap in order to show the time.
Er hat zum Geburtstag eine neue Armbanduhr bekommen.
He got a new wristwatch for his birthday.

wristwatch
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wristwatch
A watch worn on the wrist with the help of a strap in order to show the time.
Er hat zum Geburtstag eine neue Armbanduhr bekommen.
He got a new wristwatch for his birthday.

'Armbanduhr' (wristwatch) is a typical German compound. It is made up of 'das Armband' (the bracelet/strap) and 'die Uhr' (the clock/watch). So it is literally a watch attached to a strap.
Meine alte Armbanduhr ist leider kaputtgegangen.
Unfortunately, my old wristwatch broke.
Typical verbs connected with an 'Armbanduhr' (wristwatch) are 'tragen' (to wear), 'anlegen' (to put on), or 'umlegen' (to put on/strap on), and 'abnehmen' (to take off) or 'ablegen' (to take off/put down).
Vor dem Schwimmen lege ich meine Armbanduhr immer ab.
Before swimming, I always take off my wristwatch.
When checking the time on the watch, you say 'auf die Armbanduhr schauen' (to look at the wristwatch) or 'einen Blick auf die Armbanduhr werfen' (to cast a glance at the wristwatch). The preposition 'auf' with the accusative is important here.
Er schaute nervös auf seine Armbanduhr.
He looked nervously at his wristwatch.
clock / watch
'Uhr' and 'Armbanduhr' can both mean a device that shows the time. 'Uhr' is the more general word: it can be a wall clock, a wristwatch, or another kind of clock or watch. 'Armbanduhr' is more specific and only means a watch that you wear on your wrist. Learners may confuse the words because every 'Armbanduhr' is an 'Uhr'. But not every 'Uhr' is an 'Armbanduhr'. If the type of clock or watch does not matter, 'Uhr' is enough. If you mean the device worn on the arm, 'Armbanduhr' is more precise.

Ali trägt heute eine neue Armbanduhr.
Ali is wearing a new wristwatch today.
Sie schaut auf die Uhr, weil der Zug bald kommt.
She looks at the clock because the train is coming soon.