All keep an eye on synonyms

verb keep an eye on

• give a leg up — to help to mount
• eyeball — Look or stare at closely.
• ogle — to look at amorously, flirtatiously, or impertinently.
• mothering — a female parent.
• angeled — one of a class of spiritual beings; a celestial attendant of God. In medieval angelology, angels constituted the lowest of the nine celestial orders (seraphim, cherubim, thrones, dominations or dominions, virtues, powers, principalities or princedoms, archangels, and angels).
• humouring — humor.
• bedog — Lb transitive to refer to or treat like a dog; (by extension) to follow like a dog, harass, torment; bully.
• humoring — a comic, absurd, or incongruous quality causing amusement: the humor of a situation.
• listen up — pay attention, listen
• make a living — earn money
• look after — to turn one's eyes toward something or in some direction in order to see: He looked toward the western horizon and saw the returning planes.
• quarterback — a back in football who usually lines up immediately behind the center and directs the offense of the team.
• get a load of — anything put in or on something for conveyance or transportation; freight; cargo: The truck carried a load of watermelons.
• mind the store — to tend to business
• angeling — one of a class of spiritual beings; a celestial attendant of God. In medieval angelology, angels constituted the lowest of the nine celestial orders (seraphim, cherubim, thrones, dominations or dominions, virtues, powers, principalities or princedoms, archangels, and angels).
• eyeballed — Simple past tense and past participle of eyeball.
• deal with — When you deal with something or someone that needs attention, you give your attention to them, and often solve a problem or make a decision concerning them.
• care — If you care about something, you feel that it is important and are concerned about it.
• follow — to come after in sequence, order of time, etc.: The speech follows the dinner.
• nurse — a person formally educated and trained in the care of the sick or infirm. Compare nurse-midwife, nurse-practitioner, physician's assistant, practical nurse, registered nurse.
• disciplining — Present participle of discipline.
• crack the whip — to assert one's authority, esp to put people under pressure to work harder
• invigilate — to keep watch.
• disciplined — having or exhibiting discipline; rigorous: paintings characterized by a disciplined technique.
• humored — a comic, absurd, or incongruous quality causing amusement: the humor of a situation.
• babysit — If you babysit for someone or babysit their children, you look after their children while they are out.
• angel — Angels are spiritual beings that some people believe are God's servants in heaven.
• cover up — If you cover something or someone up, you put something over them in order to protect or hide them.
• live up to — to have life, as an organism; be alive; be capable of vital functions: all things that live.
• monitor — (especially formerly) a student appointed to assist in the conduct of a class or school, as to help take attendance or keep order.
• be-held — simple past tense and past participle of behold.
• guard — to keep safe from harm or danger; protect; watch over: to guard the ruler.
• lookout — Cape, a sandy reef in the Outer Banks, off E North Carolina, SW of Cape Hatteras: lighthouse.
• eagle-eye — unusually sharp visual powers; keen ability to watch or observe.
• mind — (in a human or other conscious being) the element, part, substance, or process that reasons, thinks, feels, wills, perceives, judges, etc.: the processes of the human mind.