What time and date is displayed on the watch?

The hour hand is the shorter, thicker hand. It is pointing between the 10 and the 11.

The minute hand is the longer, thinner hand. It is pointing directly at the 4. On a clock face, each number represents 5 minutes, so the 4 represents $4 \times 5 = 20$ minutes.

The second hand is the very thin hand. It is pointing directly at the 12 (which represents 00 or 60 seconds).

There is a date window at the 3 o'clock position. It displays the number 24.

The time displayed on the watch is 10:20:00 and the date is the 24th.