Repeatedly anger bishop about a problem overseas (8*)
I believe the answer is:
Here is my best explanation:
'a problem overseas' is the definition.
I can't judge whether this definition defines the answer.
'repeatedly anger bishop about' is the subsidiary indication.
'repeatedly' shows that letters should be duplicated.
'anger' becomes 'ire' ('ire' can be a synonym of 'anger').
'bishop' becomes 'b' (abbreviation used in chess).
'about' shows that the letters should be reversed in order.
'ireb' back-to-front is 'beri'.
'beri' doubled is 'beriberi'.
(Other definitions for beriberi that I've seen before include "possible cause of heart failure", "Tropical disease affecting nerves", "Asian disease caused by a dietary deficiency", "ill with this?", "Tropical disease caused by lack of vitamin B1", "Asian disease due to vitamin B1 deficiency", "illness", "A vitamin deficiency disease", "Disease (lack of vit. B1)" and "Disease caused by lack of vitamin B1".)