City hotel gone round by chief officer at lunchtime? (10)
I believe the answer is:
cincinnati
'city' is the definition.
(Cincinnati is an example)
'hotel gone round by chief officer at lunchtime?' is the wordplay.
'hotel' becomes 'inn' (inn is a kind of hotel).
'gone round by' is an insertion indicator.
'chief officer' becomes 'cinc' (C-in-C is short for Commander in Chief).
'lunchtime?' becomes 'i' (1pm could be I on a clock with Roman numerals).
'cinc'+'at'='cincat'
'inn' placed within 'cincat' is 'cincinnat'.
'cincinnat'+'i'='CINCINNATI'
(Other definitions for cincinnati that I've seen before include "Industrial city on the Ohio river" , "American city" , "US location" , "US city" , "NFL's "Bengals"" .)