Across
| Rib principally toughens the thorax, reportedly? Enter as per fill at 1 Across, with alternate letters filling white squares | TEASE |
| Support in the library to reserve hotel in person | BOOKSHELF |
| Annoyed as new water heater, failing to start, died | NETTLED |
| Dummy swallowed plant with bad smell | PLACEBO |
| See God’s city for, unfortunately, the lowest of the low | DREGSOFSOCIETY |
| Top Cambridge mathematician abandoning arithmetic, perhaps at the first opportunity, for calculator? | WANGLER |
| Starts to notice habitual halitosis, having, in elemental form, gas | AMMONIA |
| Container prone to leaking – ridiculously wet, total bother | HOTWATERBOTTLE |
| See 5 Down | ENDLESS |
| See e.g. gents pursuing sex and the Bible in retreat | VATICAN |
| Walk briskly, then run from Tea Party participant | MARCHHARE |
| Island occasionally banned nature study in central location | NAURU |
Down
| Now, on date to be taken for a ride, where are you? If you have not done so already, enter as per fill at 1 Across, with alternate letters filling white squares | ATONEDOWN |
| In Japan, the only circular temple | PANTHEON |
| Earldoms? Do not present incorrectly as provinces | REALMS |
| I make an offer in the same place | IBID |
| See 25 Across | ENDLESS |
| One revered before the first year of Our Lord, I’m thinking, in the Colosseum? | STADIUM |
| Upright judge replaced by king in purge | ERECT |
| 25 Across, 5 Down turned up after following string along | FOOL |
| Original day of 1 Across to 6 Across others | FIRST |
| Broadcasting acceptable song | ONAIR |
| Catholic state supported by us in Paris, like Notre Dame | CAVERNOUS |
| Cloth we fabricated using traditional methods | LOWTECH |
| 1 Across? I don’t know … | NOTACLUE |
| Command and control | ORDER |
| Making a face, head away for trip | OUTING |
| Smile awkwardly, maybe losing heart | BEAM |
| Mock debut of Stallone, a terrible actor | SHAM |
| See 6 Across directions | VIEW |
