hawk-eyed
adjective
a hawk-eyed policeman saved the lives of dozens of shoppers:
vigilant, observant, alert, hypervigilant, sharp-eyed, keen-eyed, gimlet-eyed, eagle-eyed, lynx-eyed, with one's eyes open, on the alert, on the lookout, with one's eyes opened/skinned/peeled;
informal beady-eyed, not missing a trick, on the ball, leery;
rare regardful, Argus-eyed.
▷antonyms inattentive.