Not on all products though Malcolm, especially where there are competing EU producers, Spanish orange growers for example are protected by tariff. So yes post BREXIT maybe oranges will become cheaper in the UK as we have no orange farmers to protect.
Coffee is another example. Coffee beans don't attract tariff, but I believe that the tariff on processed coffee is particularly steep.
The Economic Partnership Agreements are two way streets where the African countries have to open their markets to EU producers in return for access to the EU. This can mean that African farmers are competing in their own market place with goods from European subsidised mass producers. It's probably doubtful whether a Kenyan chicken farmer could compete with a subsidised Polish chicken farmer who produces on a much bigger scale.
The EU can be pretty heavy handed as well. At the conclusion of talks that took 10 years between the EU and the East African Community, Kenya refused to sign the deal, so the EU imposed tariffs of between 8.5% and 30% on Kenyan cut flowers, coffee, tea and tinned pineapple. Kenya signed the deal a few weeks later.
https://www.dw.com/en/duty-free-under-duress-kenyas-trade-with-the-eu/a-18503184