Safety Worth having
Depth, dive time and, above all, the surface interval between dives. The number that keeps you conscious is the one you spend at the surface.
A freediving computer records each dive: how deep, how long, and how long you rested before the next one. That last figure is the one that matters. Blackouts happen to divers who dive too soon after the last dive, and the watch is the only honest witness to how long you actually rested. The rule of thumb is a surface interval of at least twice the dive time, and more as the session goes on; a watch makes it a number rather than a feeling.
It also tells you the water temperature, which tells you how long you have left in the suit, and it turns a vague "about 15 metres" into a real depth profile you can learn from.
What matters:
A sports watch with a "dive" feature is not a freediving computer. A basic freediving computer from a dive brand costs about what a good pair of fins does and lasts years.
Worn over the suit, on the wrist you look at naturally. The strap must extend over 5 mm of neoprene and cinch tight enough not to slide.
Rinse the buttons under fresh water and press them while rinsing to flush salt. Replace the battery before a season, not during it. Keep the screen out of the sun between dives.