I have read the following sentence in an Italian learning tool:
Voglio che ci lavori lui su tutto. (= I want him to work on everything / I want that he work on everything)
What does "ci" mean here ?
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In this sentence, particle "ci" has the meaning of "su tutto". It is used in a pleonastic way because the sentence of your question contains a "dislocazione a destra", a construction typical of oral speech which is explained in detail in this answer.
As in this example given in that question
Non ci sono andato, a Venezia
which comes from the book Grammatica dell'italiano adulto by Vittorio Coletti, the sentence has a complement ("a Venezia" in Coletti's example, "su tutto" in your sentence) that goes after a complete clause ("Non ci sono andato" in Coletti's example, "Voglio che ci lavori" in your sentence) and which is anticipated in this clause by particle "ci".