Princeton's WordNet

1. retain, continue, keep, keep on(verb)

   allow to remain in a place or position or maintain a property or feature

   "We cannot continue several servants any longer"; "She retains a lawyer"; "The family's fortune waned and they could not keep their household staff"; "Our grant has run out and we cannot keep you on"; "We kept the work going as long as we could"; "She retained her composure"; "this garment retains its shape even after many washings"

Kernerman English Learner's Dictionary

1. keep on(verb)kip

   to continue

   Keep on past those buildings, and then turn right.; We keep on trying to fix it, but it still doesn't work.

2. keep onkip

   to continue to employ sb

   The company kept me on to re-train people.

Wiktionary

1. keep on(Verb)

   persist or continue

2. keep on(Verb)

   To remain in an existing position.

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