Hi Nicola, It's hard to say without seeing your context, but I think it would be better not to over-describe a very minor character. Maybe his listener could recognize the accent. e.g. "Caribbean accent...Jamaican?" or mention the accent to another character. This would show that the listener has travelled and has a good ear for accents. If the accent is just random and not furthering plot or character, it might be more confusing than helpful.
It's hard to say without seeing your context, but I think it would be better not to over-describe a very minor character. Maybe his listener could recognize the accent. e.g. "Caribbean accent...Jamaican?" or mention the accent to another character. This would show that the listener has travelled and has a good ear for accents. If the accent is just random and not furthering plot or character, it might be more confusing than helpful.