I'm sure CENSUS is correct, though I can't say I actually like this clue. It does fit the checking letters and it lends itself to the clue by having a chronological sense as a noun as well as operating as verb.
DANTE is the pseudonym for Roger Squires who also happens to set the Telegraph puzzle on Mondays by the way (he is also Rufus in the Guardian).
BRADMAN (Don Manley) sets Friday's DT (he is also PASQUALE in the Guardian and QUIXOTE in the Indy among others...)