The most common and most likely answer to this crossword clue is the 7 letter word LOOSELY
I've seen this crossword clue in The Daily Telegraph
L
O
O
S
E
L
Y
More clues leading to the result LOOSELY
- Places to go and see? Not exactly
- Ladies and gents associated with city in a vague way
- Conveniences on top of cathedral? Not exactly!
- Facilities really missing odd characters, generally
- Generally see supporting facilities?
- Private rooms overlooking cathedral city, approximately
- Ladies and gentlemen, a cathedral city, more or less
- See female writer first in a rough sense
Buddy explains!

The straight part
We know that "approximately" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case approximately = loosely.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does LOOSELY mean?
LOOSELY adverb- In a loose manner.
- Not tightly.
- Approximately.
- Used to indicate an imprecise use of words; short for loosely speaking