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Drill,
tedious
thing?
(5)
Drill, tedious thing? (5)
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The whole clue is the definition (& lit or double definition).
How the clue works
Drill and tedious thing? are both doing the heavy lifting here as separate definitions — a drill is a boring tool, a borer, and something that sends you to sleep with dullness is equally a borer. Two completely different senses of "bore," both pointing at the same answer.