arch
[definition 2]Pronunciation: /ärCH/
adjective
Deliberately or affectedly playful and teasing: arch observations about even the most mundane matters
Origin
mid 16th century (in the sense 'chief, principal'): from arch-, because of its association with words such as rogue.
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To make arch comments, there is no need to stand beneath an actual arch, not that anyone involved with WotD would make such an observation!