No, the word around is not a compound word.
bedpost doorpost fencepost gatepost goalpost guidepost lamppost outpost postbox postcard postdate postman postmark postmodern postnasal postnatal postscript postwar signpost
No. Compound is not a compound word because if you try to separate it, you would get com & pound. Com is not a word (the com in a website does not qualify as a word).
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