Albeit rare, triple compound words are nonetheless commonly used and recognized in English. Many of them sound formal and archaic but they are nevertheless still in common usage nowadays, not merely a relic of the days of highwaymen and crossbowmen. The archaic examples heretofore used notwithstanding, it would be false to claim that there are no triple compound words whatsoever.

(Inasmuch as I've made my point, I will spare you any further woebegone prose.)