If there’s no deal, British citizens would not need a visa for short stays in Cyprus. You would be able to stay in Cyprus for up to 90 days in any 180-day period. If you are a resident in Cyprus, you are advised to carry your Republic of Cyprus-issued residency documents when entering/exiting the Republic of Cyprus. If you are not a resident in the Republic of Cyprus and cannot show that you hold a residency document, you will likely be subject to the 90-day limit rule.
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