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uk llp dividends to cyprus tax domiciled

There are some tax exemptions that you could access if you are not already a CY resident that maybe @CyprusLawyer101 could help you with.

There isn't any exemption for foreign source income and BTW be aware that if you do freelacing work from CY, even if the income comes from outside CY, it's really local source income because you worked from CY to produce that income.