It means something you dislike or something that’s not to your liking.
I’m not keen on peeling onions as they make my eyes water.
I don’t like peeling onions because they make my eyes water.
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Not too keen on = not very interested in
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It means that someone doesn’t enjoy (doing) something or isn’t fond of (doing) something.
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The expression, "not too keen on" (which is mainly British English) means that the speaker doesn't particularly like / enjoy something (in this case flying).