Not applicable here, as "Trinidad and Tobago" is a single name in a list of two items. But a comma following "Tobago", while not a serial comma sensu stricto, would still aid comprehension.
I’ve been thinking about the same since I saw your comment. I think a comma after Tobago: “Trinidad and Tobago, and in Suriname” would make the sentence easier to understand but it also might add meaning that isn’t there. Does the added comma imply that primary object (most of the work) was done on Trinidad and Tobago, while the work in Suriname is smaller or less important?
I don't think a semicolon is right here. Are you proposing this?
"He spent a sabbatical conducting field work on Trinidad and Tobago; and in Suriname."
That sounds very odd indeed — I wouldn't say the sentence with a semicolon-sized gap in it and reading it with one is jarring.
There's nothing wrong with the original sentence. When I read and say it I do so with the same cadence as "He spent a sabbatical conducting field work on Bermuda and in Suriname." The "and" in Trinidad and Tobago is just coincidence — it's not part of the sentence structure. If a reader doesn't know that Trinidad and Tobago is a place then perhaps the sentence's "in x and y and on z" would provoke them into finding this out.
> He spent a sabbatical conducting field work on {Trinidad and Tobago} and in {Suriname}
Could be clearer, although "On Trinidad and Tobago" doesn't make sense. "In Trinidad and Tobago", or "On Trinidad", or "On Tobago", sure, but Trinidad and Tobago are two islands (and many smaller)
What a great example for why we need the Oxford Comma.