The most common and most likely answer to this crossword clue is the 8 letter word BONHOMIE
I've seen this crossword clue in Financial Times
B
O
N
H
O
M
I
E
More clues leading to the result BONHOMIE
- Friendliness of retired toff, one in institution
- Friendliness in most of Bohemia? No, wrong
- Warmth from aristocrat backing US neighbour
- About to be taken in by British gang member’s geniality
- In boom he reacts with exuberant friendliness
- Book about one in residence offering warmth
- New hotel in prosperous period that is providing conviviality
- Retired aristocrat, one in residence, shows genial nature
- Aristocrat tipped domestic welcoming his unlimited friendliness
- Prosperous time round New Hampshire that is creating good will
Buddy explains!

The straight part
We know that "Warmth" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case warmth = bonhomie.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 BONHOMIE mean?
BONHOMIE noun- A pleasant, friendly, good-natured manner; an affable and approachable disposition; good-heartedness.
- Friendly atmosphere; an atmosphere of good cheer.
- A cheerful remark.